112757508493992 has 256 divisors, whose sum is σ = 333135012556800. Its totient is φ = 35259037482240.

The previous prime is 112757508493957. The next prime is 112757508494119. The reversal of 112757508493992 is 299394805757211.

It is a happy number.

112757508493992 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 575 + 0 + 8 + 49 + 3 + 9 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 112757508493992.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 658964367 + ... + 659135457.

It is an arithmetic number, because the mean of its divisors is an integer number (1301308642800).

Almost surely, 2^{112757508493992} is an apocalyptic number.

112757508493992 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 112757508493992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166567506278400).

112757508493992 is an abundant number, since it is smaller than the sum of its proper divisors (220377504062808).

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

112757508493992 is a wasteful number, since it uses less digits than its factorization.

112757508493992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173685 (or 173675 counting only the distinct ones).

The product of its (nonzero) digits is 342921600, while the sum is 72.

The spelling of 112757508493992 in words is "one hundred twelve trillion, seven hundred fifty-seven billion, five hundred eight million, four hundred ninety-three thousand, nine hundred ninety-two".