12416456152224 has 72 divisors (see below), whose sum is σ = 35398237804020. Its totient is φ = 4128393443328.

The previous prime is 12416456152201. The next prime is 12416456152231. The reversal of 12416456152224 is 42225165461421.

12416456152224 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 6 + 4 + 5 + 615 + 2 + 2 + 24 = 666.

12416456152224 is digitally balanced in base 2, 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 11033903479824 + 1382552672400 = 3321732^2 + 1175820^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 12416456152224.

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, 54183769 + ... + 54412440.

Almost surely, 2^{12416456152224} is an apocalyptic number.

It is an amenable number.

12416456152224 is an abundant number, since it is smaller than the sum of its proper divisors (22981781651796).

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

12416456152224 is a wasteful number, since it uses less digits than its factorization.

12416456152224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108596622 (or 108596611 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 12416456152224 in words is "twelve trillion, four hundred sixteen billion, four hundred fifty-six million, one hundred fifty-two thousand, two hundred twenty-four".