252743153664 has 96 divisors (see below), whose sum is σ = 703113989760. Its totient is φ = 80584728576.

The previous prime is 252743153587. The next prime is 252743153737. The reversal of 252743153664 is 466351347252.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 752962 + ... + 1035585.

It is an arithmetic number, because the mean of its divisors is an integer number (7324104060).

Almost surely, 2^252743153664 is an apocalyptic number.

252743153664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252743153664 is an abundant number, since it is smaller than the sum of its proper divisors (450370836096).

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

252743153664 is a wasteful number, since it uses less digits than its factorization.

252743153664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788595 (or 1788575 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 48.

The spelling of 252743153664 in words is "two hundred fifty-two billion, seven hundred forty-three million, one hundred fifty-three thousand, six hundred sixty-four".