112123574900964 has 135 divisors (see below), whose sum is σ = 322188272207571. Its totient is φ = 33976205548560.

The previous prime is 112123574900957. The next prime is 112123574901011. The reversal of 112123574900964 is 469009475321211.

The square root of 112123574900964 is 10588842.

It is a perfect power (a square), and thus also a powerful number.

112123574900964 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 2 + 3 + 574 + 9 + 0 + 0 + 9 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 112123574900964.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2096563977 + ... + 2096617455.

Almost surely, 2^{112123574900964} is an apocalyptic number.

112123574900964 is the 10588842-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112123574900964

112123574900964 is an abundant number, since it is smaller than the sum of its proper divisors (210064697306607).

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

112123574900964 is an frugal number, since it uses more digits than its factorization.

112123574900964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106996 (or 53495 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 112123574900964 in words is "one hundred twelve trillion, one hundred twenty-three billion, five hundred seventy-four million, nine hundred thousand, nine hundred sixty-four".