91250917632 has 576 divisors, whose sum is σ = 317035192320. Its totient is φ = 25353216000.

The previous prime is 91250917613. The next prime is 91250917651. The reversal of 91250917632 is 23671905219.

It is a happy number.

91250917632 is a `hidden beast` number, since 9 + 1 + 2 + 5 + 0 + 9 + 1 + 7 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (91250917613) and next prime (91250917651).

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 346961533 + ... + 346961795.

It is an arithmetic number, because the mean of its divisors is an integer number (550408320).

Almost surely, 2^91250917632 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 91250917632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158517596160).

91250917632 is an abundant number, since it is smaller than the sum of its proper divisors (225784274688).

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

91250917632 is a wasteful number, since it uses less digits than its factorization.

91250917632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 91250917632 in words is "ninety-one billion, two hundred fifty million, nine hundred seventeen thousand, six hundred thirty-two".