91613288632320 has 4992 divisors, whose sum is σ = 437364801216000. Its totient is φ = 18312060469248.

The previous prime is 91613288632303. The next prime is 91613288632361. The reversal of 91613288632320 is 2323688231619.

91613288632320 is a `hidden beast` number, since 9 + 1 + 6 + 1 + 3 + 288 + 6 + 32 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (4992).

It is a super-2 number, since 2×91613288632320² (a number of 29 digits) contains 22 as substring.

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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4821752033271 + ... + 4821752033289.

Almost surely, 2^{91613288632320} is an apocalyptic number.

91613288632320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91613288632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218682400608000).

91613288632320 is an abundant number, since it is smaller than the sum of its proper divisors (345751512583680).

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

91613288632320 is an frugal number, since it uses more digits than its factorization.

91613288632320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 91613288632320 in words is "ninety-one trillion, six hundred thirteen billion, two hundred eighty-eight million, six hundred thirty-two thousand, three hundred twenty".