268032811257 has 48 divisors (see below), whose sum is σ = 405593697600. Its totient is φ = 170339137920.

The previous prime is 268032811243. The next prime is 268032811261. The reversal of 268032811257 is 752118230862.

268032811257 is a `hidden beast` number, since 2 + 68 + 0 + 328 + 11 + 257 = 666.

It is not a de Polignac number, because 268032811257 - 2⁸ = 268032811001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (268032811457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46377594 + ... + 46383372.

It is an arithmetic number, because the mean of its divisors is an integer number (8449868700).

Almost surely, 2^268032811257 is an apocalyptic number.

It is an amenable number.

268032811257 is a deficient number, since it is larger than the sum of its proper divisors (137560886343).

268032811257 is a wasteful number, since it uses less digits than its factorization.

268032811257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8038 (or 8035 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 268032811257 in words is "two hundred sixty-eight billion, thirty-two million, eight hundred eleven thousand, two hundred fifty-seven".