252145272456288 has 72 divisors (see below), whose sum is σ = 717075712820376. Its totient is φ = 84044017497600.

The previous prime is 252145272456227. The next prime is 252145272456433. The reversal of 252145272456288 is 882654272541252.

252145272456288 is a `hidden beast` number, since 2 + 5 + 2 + 1 + 4 + 527 + 2 + 45 + 62 + 8 + 8 = 666.

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

It is a congruent number.

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, 17446458 + ... + 28437113.

It is an arithmetic number, because the mean of its divisors is an integer number (9959384900283).

Almost surely, 2^{252145272456288} is an apocalyptic number.

It is an amenable number.

252145272456288 is an abundant number, since it is smaller than the sum of its proper divisors (464930440364088).

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

252145272456288 is a wasteful number, since it uses less digits than its factorization.

252145272456288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45902668 (or 45902657 counting only the distinct ones).

The product of its digits is 172032000, while the sum is 63.

The spelling of 252145272456288 in words is "two hundred fifty-two trillion, one hundred forty-five billion, two hundred seventy-two million, four hundred fifty-six thousand, two hundred eighty-eight".