91517435964 has 144 divisors (see below), whose sum is σ = 246641274880. Its totient is φ = 28531077120.

The previous prime is 91517435959. The next prime is 91517435981. The reversal of 91517435964 is 46953471519.

91517435964 is a `hidden beast` number, since 9 + 1 + 5 + 1 + 7 + 43 + 596 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 91517435964.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18326652 + ... + 18331644.

Almost surely, 2^91517435964 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 91517435964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123320637440).

91517435964 is an abundant number, since it is smaller than the sum of its proper divisors (155123838916).

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

91517435964 is a wasteful number, since it uses less digits than its factorization.

91517435964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5360 (or 5355 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The spelling of 91517435964 in words is "ninety-one billion, five hundred seventeen million, four hundred thirty-five thousand, nine hundred sixty-four".