91739483264 has 512 divisors, whose sum is σ = 244290816000. Its totient is φ = 33611120640.

The previous prime is 91739483263. The next prime is 91739483287. The reversal of 91739483264 is 46238493719.

It is a super-2 number, since 2×91739483264² (a number of 23 digits) contains 22 as substring.

Its product of digits (7838208) is a multiple of the sum of its prime divisors (384).

It is not an unprimeable number, because it can be changed into a prime (91739483261) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 348819197 + ... + 348819459.

It is an arithmetic number, because the mean of its divisors is an integer number (477130500).

Almost surely, 2^91739483264 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 91739483264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122145408000).

91739483264 is an abundant number, since it is smaller than the sum of its proper divisors (152551332736).

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

91739483264 is a wasteful number, since it uses less digits than its factorization.

91739483264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 384 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 56.

The spelling of 91739483264 in words is "ninety-one billion, seven hundred thirty-nine million, four hundred eighty-three thousand, two hundred sixty-four".