256657686756652 has 48 divisors (see below), whose sum is σ = 450081222645600. Its totient is φ = 128063393390592.

The previous prime is 256657686756643. The next prime is 256657686756659.

256657686756652 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (256657686756659) 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 15 ways as a sum of consecutive naturals, for example, 20284328358 + ... + 20284341010.

It is an arithmetic number, because the mean of its divisors is an integer number (9376692138450).

Almost surely, 2^{256657686756652} is an apocalyptic number.

It is an amenable number.

256657686756652 is a deficient number, since it is larger than the sum of its proper divisors (193423535888948).

256657686756652 is a wasteful number, since it uses less digits than its factorization.

256657686756652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18610 (or 18608 counting only the distinct ones).

The product of its digits is 45722880000, while the sum is 82.

The spelling of 256657686756652 in words is "two hundred fifty-six trillion, six hundred fifty-seven billion, six hundred eighty-six million, seven hundred fifty-six thousand, six hundred fifty-two".