253044464440352 has 24 divisors (see below), whose sum is σ = 536502927011436. Its totient is φ = 116789752818432.

The previous prime is 253044464440319. The next prime is 253044464440409.

It is a happy number.

253044464440352 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 239208415380496 + 13836049059856 = 15466364^2 + 3719684^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 253044464440352.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 304139980883 + ... + 304139981714.

Almost surely, 2^{253044464440352} is an apocalyptic number.

It is an amenable number.

253044464440352 is an abundant number, since it is smaller than the sum of its proper divisors (283458462571084).

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

253044464440352 is a wasteful number, since it uses less digits than its factorization.

253044464440352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608279962620 (or 608279962612 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 50.

The spelling of 253044464440352 in words is "two hundred fifty-three trillion, forty-four billion, four hundred sixty-four million, four hundred forty thousand, three hundred fifty-two".