252912151916944 has 135 divisors (see below), whose sum is σ = 554725224631683. Its totient is φ = 111645128365056.

The previous prime is 252912151916899. The next prime is 252912151916953. The reversal of 252912151916944 is 449619151219252.

The square root of 252912151916944 is 15903212.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 203843808102544 + 49068343814400 = 14277388^2 + 7004880^2 .

It is a super-2 number, since 2×252912151916944² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19020234904 + ... + 19020248200.

Almost surely, 2^{252912151916944} is an apocalyptic number.

252912151916944 is the 15903212-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252912151916944

252912151916944 is an abundant number, since it is smaller than the sum of its proper divisors (301813072714739).

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

252912151916944 is an frugal number, since it uses more digits than its factorization.

252912151916944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26674 (or 13335 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 61.

The spelling of 252912151916944 in words is "two hundred fifty-two trillion, nine hundred twelve billion, one hundred fifty-one million, nine hundred sixteen thousand, nine hundred forty-four".