252456341664 has 48 divisors (see below), whose sum is σ = 663862711680. Its totient is φ = 84004200960.

The previous prime is 252456341593. The next prime is 252456341671. The reversal of 252456341664 is 466143654252.

It is a tau number, because it is divible by the number of its divisors (48).

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

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, 2256232 + ... + 2365479.

It is an arithmetic number, because the mean of its divisors is an integer number (13830473160).

Almost surely, 2^252456341664 is an apocalyptic number.

252456341664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252456341664 is an abundant number, since it is smaller than the sum of its proper divisors (411406370016).

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

252456341664 is a wasteful number, since it uses less digits than its factorization.

252456341664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4622293 (or 4622285 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 48.

The spelling of 252456341664 in words is "two hundred fifty-two billion, four hundred fifty-six million, three hundred forty-one thousand, six hundred sixty-four".