112656491291232 has 1440 divisors, whose sum is σ = 428404871916000. Its totient is φ = 28696508596224.

The previous prime is 112656491291209. The next prime is 112656491291261. The reversal of 112656491291232 is 232192194656211.

112656491291232 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 5 + 6 + 491 + 29 + 123 + 2 = 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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12730981144 + ... + 12730989992.

It is an arithmetic number, because the mean of its divisors is an integer number (297503383275).

Almost surely, 2^{112656491291232} is an apocalyptic number.

112656491291232 is a gapful number since it is divisible by the number (12) 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 112656491291232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214202435958000).

112656491291232 is an abundant number, since it is smaller than the sum of its proper divisors (315748380624768).

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

112656491291232 is an equidigital number, since it uses as much as digits as its factorization.

112656491291232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8951 (or 8897 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 112656491291232 in words is "one hundred twelve trillion, six hundred fifty-six billion, four hundred ninety-one million, two hundred ninety-one thousand, two hundred thirty-two".