91239020232192 has 960 divisors, whose sum is σ = 310322176919040. Its totient is φ = 25271314219008.

The previous prime is 91239020232067. The next prime is 91239020232221. The reversal of 91239020232192 is 29123202093219.

91239020232192 is a `hidden beast` number, since 9 + 1 + 2 + 39 + 0 + 202 + 321 + 92 = 666.

It is a super-2 number, since 2×91239020232192² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36983792943 + ... + 36983795409.

It is an arithmetic number, because the mean of its divisors is an integer number (323252267624).

Almost surely, 2^{91239020232192} 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 91239020232192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155161088459520).

91239020232192 is an abundant number, since it is smaller than the sum of its proper divisors (219083156686848).

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

91239020232192 is a wasteful number, since it uses less digits than its factorization.

91239020232192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2831 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 91239020232192 in words is "ninety-one trillion, two hundred thirty-nine billion, twenty million, two hundred thirty-two thousand, one hundred ninety-two".