112564892670000 has 400 divisors, whose sum is σ = 375867970148352. Its totient is φ = 28989239040000.

The previous prime is 112564892669989. The next prime is 112564892670119. The reversal of 112564892670000 is 76298465211.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-4 number, since 4×112564892670000⁴ (a number of 57 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 452785732 + ... + 453034268.

Almost surely, 2^{112564892670000} is an apocalyptic number.

112564892670000 is a gapful number since it is divisible by the number (10) 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 112564892670000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187933985074176).

112564892670000 is an abundant number, since it is smaller than the sum of its proper divisors (263303077478352).

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

112564892670000 is a wasteful number, since it uses less digits than its factorization.

112564892670000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249086 (or 249065 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 112564892670000 in words is "one hundred twelve trillion, five hundred sixty-four billion, eight hundred ninety-two million, six hundred seventy thousand".