The
Planck time is the amount of time it takes for something to travel at the speed of light across the smallest distance of the universe, the
Planck length. It's about 5.39116 x 10
-44 seconds. Times shorter than this might as well not matter, due to it being impossible to transfer energy in a shorter amount of time.
Assuming that a frame occurs every Planck second, we can determine the framerate of the universe to be 1.855 x 10
43 frames per second.
Of course, this is more akin to the tickrate of the universe. The framerate depends entirely on the eye viewing the universe, but is still capped by the universal tickrate, due to the lack of a truly outside observer.
EDIT: Fixed links and elaborated on why times so short are meaningless.