91625473808 has 80 divisors (see below), whose sum is σ = 195719377920. Its totient is φ = 41207961600.

The previous prime is 91625473789. The next prime is 91625473831. The reversal of 91625473808 is 80837452619.

It is a Cunningham number, because it is equal to 302697²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 91625473808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6652433 + ... + 6666191.

It is an arithmetic number, because the mean of its divisors is an integer number (2446492224).

It is a 2-persistent number, because it is pandigital, and so is 2⋅91625473808 = 183250947616, but 3⋅91625473808 = 274876421424 is not.

Almost surely, 2^91625473808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91625473808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97859688960).

91625473808 is an abundant number, since it is smaller than the sum of its proper divisors (104093904112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

91625473808 is a wasteful number, since it uses less digits than its factorization.

91625473808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14176 (or 14170 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 53.

The spelling of 91625473808 in words is "ninety-one billion, six hundred twenty-five million, four hundred seventy-three thousand, eight hundred eight".