112581723024 has 45 divisors (see below), whose sum is σ = 315083729649. Its totient is φ = 37525898880.

The previous prime is 112581723019. The next prime is 112581723043. The reversal of 112581723024 is 420327185211.

The square root of 112581723024 is 335532.

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

112581723024 is a `hidden beast` number, since 1 + 1 + 2 + 581 + 72 + 3 + 0 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26286785424 + 86294937600 = 162132^2 + 293760^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 112581723024.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4012404 + ... + 4040364.

Almost surely, 2^112581723024 is an apocalyptic number.

112581723024 is the 335532-nd square number.

It is an amenable number.

112581723024 is an abundant number, since it is smaller than the sum of its proper divisors (202502006625).

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

112581723024 is an frugal number, since it uses more digits than its factorization.

112581723024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55936 (or 27966 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Multiplying 112581723024 by its sum of digits (36), we get a square (4052942028864 = 2013192²).

112581723024 divided by its sum of digits (36) gives a square (3127270084 = 55922²).

The spelling of 112581723024 in words is "one hundred twelve billion, five hundred eighty-one million, seven hundred twenty-three thousand, twenty-four".