diff --git a/test/inductor/test_aot_inductor.py b/test/inductor/test_aot_inductor.py
index 7c3405e370c..587ad83cafe 100644
--- a/test/inductor/test_aot_inductor.py
+++ b/test/inductor/test_aot_inductor.py
@@ -1059,6 +1059,23 @@ class AOTInductorTestsTemplate:
         example_inputs = (x, y)
         self.check_model(Model(), example_inputs, dynamic_shapes=dynamic_shapes)
 
+    def test_large_dynamic_dim(self):
+        class Model(torch.nn.Module):
+            def __init__(self) -> None:
+                super().__init__()
+
+            def forward(self, x, y):
+                add_0 = x + y
+                return torch.nn.functional.relu(input=add_0, inplace=False)
+
+        x = torch.randn(128, 2048, device=self.device)
+        y = torch.randn(128, 2048, device=self.device)
+        # Use a dimension that exceeds the maximum value of a C long long (2^63 - 1)
+        dim0_x = Dim("dim0_x", min=1, max=1171368248680556527362)
+        dynamic_shapes = {"x": {0: dim0_x}, "y": {0: dim0_x}}
+        example_inputs = (x, y)
+        self.check_model(Model(), example_inputs, dynamic_shapes=dynamic_shapes)
+
     @unittest.skipIf(
         not PLATFORM_SUPPORTS_FP8,
         "FP8 is only supported on H100+, SM 8.9 and MI300+ devices",
diff --git a/torch/_inductor/codegen/cpp_wrapper_cpu.py b/torch/_inductor/codegen/cpp_wrapper_cpu.py
index bdaf74952ce..08c6a586e98 100644
--- a/torch/_inductor/codegen/cpp_wrapper_cpu.py
+++ b/torch/_inductor/codegen/cpp_wrapper_cpu.py
@@ -1,6 +1,7 @@
 # mypy: allow-untyped-defs
 from __future__ import annotations
 
+import ctypes
 import functools
 import math
 import os
@@ -405,12 +406,15 @@ class CppWrapperCpu(PythonWrapperCodegen):
                             """
                         )
                     if not math.isinf(sym_range.upper):
+                        # Limit upper bound to max C long long value (2^63 - 1)
+                        max_long_long = ctypes.c_longlong(2**63 - 1).value
+                        upper_bound = min(sym_range.upper, max_long_long)
                         self.prefix.splice(
                             f"""
-                                if ({name}_size[{dim_idx}] > {sym_range.upper}) {{
+                                if ({name}_size[{dim_idx}] > {upper_bound}) {{
                                     std::stringstream ss;
                                     ss << "{handle_kind}[{idx}]: dim value is too large at {dim_idx}, "
-                                       << "expected to be <= {sym_range.upper}, " << "but got: "
+                                       << "expected to be <= {upper_bound}, " << "but got: "
                                        << {name}_size[{dim_idx}] << "\\n";
                                     throw std::runtime_error(ss.str());
                                 }}