257663044156996 has 27 divisors (see below), whose sum is σ = 451248512992669. Its totient is φ = 128734969984208.

The previous prime is 257663044156993. The next prime is 257663044157111. The reversal of 257663044156996 is 699651440366752.

The square root of 257663044156996 is 16051886.

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

It can be written as a sum of positive squares in only one way, i.e., 6410872080900 + 251252172076096 = 2531970^2 + 15850936^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257663044156993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 64111230675 + ... + 64111234693.

Almost surely, 2^{257663044156996} is an apocalyptic number.

257663044156996 is the 16051886-th square number.

It is an amenable number.

257663044156996 is a deficient number, since it is larger than the sum of its proper divisors (193585468835673).

257663044156996 is an frugal number, since it uses more digits than its factorization.

257663044156996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12036 (or 6018 counting only the distinct ones).

The product of its (nonzero) digits is 1763596800, while the sum is 73.

The spelling of 257663044156996 in words is "two hundred fifty-seven trillion, six hundred sixty-three billion, forty-four million, one hundred fifty-six thousand, nine hundred ninety-six".