252231792768 has 72 divisors (see below), whose sum is σ = 725872313205. Its totient is φ = 84071582208.

The previous prime is 252231792751. The next prime is 252231792781. The reversal of 252231792768 is 867297132252.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

252231792768 is a `hidden beast` number, since 2 + 52 + 2 + 317 + 9 + 276 + 8 = 666.

252231792768 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 247693345344 + 4538447424 = 497688^2 + 67368^2 .

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

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=355128.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17038746 + ... + 17053542.

Almost surely, 2^252231792768 is an apocalyptic number.

It is an amenable number.

252231792768 is an abundant number, since it is smaller than the sum of its proper divisors (473640520437).

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

252231792768 is an frugal number, since it uses more digits than its factorization.

252231792768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29614 (or 14802 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 252231792768 in words is "two hundred fifty-two billion, two hundred thirty-one million, seven hundred ninety-two thousand, seven hundred sixty-eight".