257456036456716 has 24 divisors (see below), whose sum is σ = 479522657381040. Its totient is φ = 120528031690752.

The previous prime is 257456036456683. The next prime is 257456036456743. The reversal of 257456036456716 is 617654630654752.

It is a super-2 number, since 2×257456036456716² (a number of 30 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 9808583206 + ... + 9808609453.

It is an arithmetic number, because the mean of its divisors is an integer number (19980110724210).

Almost surely, 2^{257456036456716} is an apocalyptic number.

It is an amenable number.

257456036456716 is a deficient number, since it is larger than the sum of its proper divisors (222066620924324).

257456036456716 is a wasteful number, since it uses less digits than its factorization.

257456036456716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19617192873 (or 19617192871 counting only the distinct ones).

The product of its (nonzero) digits is 762048000, while the sum is 67.

The spelling of 257456036456716 in words is "two hundred fifty-seven trillion, four hundred fifty-six billion, thirty-six million, four hundred fifty-six thousand, seven hundred sixteen".