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Maybe 9,223,372,036,854,775,807,which is from cppreference.com. Acturaly, it is up to your Memory limitation.I have done experiments on my computer (Core i3-3110M, 8GB of RAM) and found that the maximum size I can allocate is about 1/2 of the remaining RAM.
There is method of std::vector — max_size, that return maximum size of vector with given template type.