Although a const int will not always be appropriate, an enum will usually work as a substitute for the #define if you are defining something to be an integral value. This is actually my preference in such a case.
enum { FIELD_WIDTH = 16384 };
char buf[FIELD_WIDTH];
In C++ this is a huge advantage as you can scope your enum in a class or namespace, whereas you cannot scope a #define.
In C you don't have namespaces and cannot scope an enum inside a struct, and am not even sure you get the type-safety, so I cannot actually see any major advantage, although maybe some C programmer there will point it out to me.