  Recently, it is reported that thermal fluctuations, which are interpreted as
quantum effects, modify the black holes entropy by an exponential term. We now
find the effect of such modification on the black hole mass and other
thermodynamics quantities. We find that the Schwarzschild black hole mass
decreased by thermal fluctuations. Hence, we study exponential corrected
thermodynamics and statistics of black holes by computing the partition
function. We obtain the special condition on the event horizon radius to
satisfy Smarr-Gibbs-Duhem relation in the presence of quantum correction. As we
know, the Schwarzschild black hole is unstable, while the effect of exponential
correction is the stability of $4D$ Schwarzschild black hole as well as the
Schwarzschild-AdS black hole at a small area. On the other hand, a $5D$
Schwarzschild black hole is completely unstable. The effect of the quantum
correction on the Reissner-Nordstr\"{o}m black hole is instability at quantum
scales. Finally, we consider the most general case of charged AdS black hole
and study the corrected thermodynamics.
