112526656704000 has 6400 divisors, whose sum is σ = 566365096028160. Its totient is φ = 21499084800000.

The previous prime is 112526656703999. The next prime is 112526656704013. The reversal of 112526656704000 is 407656625211.

112526656704000 is a `hidden beast` number, since 1 + 1 + 2 + 526 + 6 + 56 + 70 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6400).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 280615103800 + ... + 280615104200.

Almost surely, 2^{112526656704000} is an apocalyptic number.

112526656704000 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 112526656704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283182548014080).

112526656704000 is an abundant number, since it is smaller than the sum of its proper divisors (453838439324160).

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

112526656704000 is a wasteful number, since it uses less digits than its factorization.

112526656704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 112526656704000 in words is "one hundred twelve trillion, five hundred twenty-six billion, six hundred fifty-six million, seven hundred four thousand".