91515467736 has 512 divisors, whose sum is σ = 347182848000. Its totient is φ = 21598617600.

The previous prime is 91515467663. The next prime is 91515467741. The reversal of 91515467736 is 63776451519.

91515467736 is a `hidden beast` number, since 91 + 5 + 1 + 546 + 7 + 7 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8193996 + ... + 8205156.

It is an arithmetic number, because the mean of its divisors is an integer number (678091500).

Almost surely, 2^91515467736 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 91515467736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173591424000).

91515467736 is an abundant number, since it is smaller than the sum of its proper divisors (255667380264).

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

91515467736 is a wasteful number, since it uses less digits than its factorization.

91515467736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11240 (or 11230 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 54.

The spelling of 91515467736 in words is "ninety-one billion, five hundred fifteen million, four hundred sixty-seven thousand, seven hundred thirty-six".