112205154564 has 36 divisors (see below), whose sum is σ = 288981204876. Its totient is φ = 36696024768.

The previous prime is 112205154487. The next prime is 112205154583. The reversal of 112205154564 is 465451502211.

112205154564 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 0 + 51 + 545 + 64 = 666.

112205154564 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 100191240900 + 12013913664 = 316530^2 + 109608^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×112205154564² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29401959 + ... + 29405774.

It is an arithmetic number, because the mean of its divisors is an integer number (8027255691).

Almost surely, 2^112205154564 is an apocalyptic number.

It is an amenable number.

112205154564 is an abundant number, since it is smaller than the sum of its proper divisors (176776050312).

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

112205154564 is a wasteful number, since it uses less digits than its factorization.

112205154564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58807796 (or 58807791 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 112205154564 its reverse (465451502211), we get a palindrome (577656656775).

The spelling of 112205154564 in words is "one hundred twelve billion, two hundred five million, one hundred fifty-four thousand, five hundred sixty-four".