252658903601664 has 480 divisors, whose sum is σ = 870392100536640. Its totient is φ = 72155063844864.

The previous prime is 252658903601651. The next prime is 252658903601719. The reversal of 252658903601664 is 466106309856252.

252658903601664 is a `hidden beast` number, since 2 + 5 + 2 + 6 + 589 + 0 + 36 + 0 + 16 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1492174672 + ... + 1492343984.

It is an arithmetic number, because the mean of its divisors is an integer number (1813316876118).

Almost surely, 2^{252658903601664} is an apocalyptic number.

252658903601664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252658903601664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435196050268320).

252658903601664 is an abundant number, since it is smaller than the sum of its proper divisors (617733196934976).

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

252658903601664 is a wasteful number, since it uses less digits than its factorization.

252658903601664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171557 (or 171528 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 252658903601664 in words is "two hundred fifty-two trillion, six hundred fifty-eight billion, nine hundred three million, six hundred one thousand, six hundred sixty-four".