112957339410432 has 1344 divisors, whose sum is σ = 376389301616640. Its totient is φ = 32328253440000.

The previous prime is 112957339410403. The next prime is 112957339410469. The reversal of 112957339410432 is 234014933759211.

112957339410432 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 573 + 39 + 4 + 1 + 0 + 4 + 32 = 666.

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, 401983414132 + ... + 401983414412.

Almost surely, 2^{112957339410432} is an apocalyptic number.

112957339410432 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 112957339410432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188194650808320).

112957339410432 is an abundant number, since it is smaller than the sum of its proper divisors (263431962206208).

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

112957339410432 is a wasteful number, since it uses less digits than its factorization.

112957339410432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 112957339410432 in words is "one hundred twelve trillion, nine hundred fifty-seven billion, three hundred thirty-nine million, four hundred ten thousand, four hundred thirty-two".