252546451761888 has 144 divisors (see below), whose sum is σ = 736970587962336. Its totient is φ = 81986587361280.

The previous prime is 252546451761869. The next prime is 252546451761917. The reversal of 252546451761888 is 888167154645252.

252546451761888 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 46 + 4 + 517 + 61 + 8 + 8 + 8 = 666.

252546451761888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11720356 + ... + 25346787.

It is an arithmetic number, because the mean of its divisors is an integer number (5117851305294).

Almost surely, 2^{252546451761888} is an apocalyptic number.

It is an amenable number.

252546451761888 is an abundant number, since it is smaller than the sum of its proper divisors (484424136200448).

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

252546451761888 is a wasteful number, since it uses less digits than its factorization.

252546451761888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37067777 (or 37067766 counting only the distinct ones).

The product of its digits is 1032192000, while the sum is 72.

The spelling of 252546451761888 in words is "two hundred fifty-two trillion, five hundred forty-six billion, four hundred fifty-one million, seven hundred sixty-one thousand, eight hundred eighty-eight".