257648975360844 has 48 divisors (see below), whose sum is σ = 621913635275520. Its totient is φ = 82921200586560.

The previous prime is 257648975360827. The next prime is 257648975360851. The reversal of 257648975360844 is 448063579846752.

It is a happy number.

257648975360844 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 257648975360844.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103726227 + ... + 106181109.

It is an arithmetic number, because the mean of its divisors is an integer number (12956534068240).

Almost surely, 2^{257648975360844} is an apocalyptic number.

It is an amenable number.

257648975360844 is an abundant number, since it is smaller than the sum of its proper divisors (364264659914676).

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

257648975360844 is a wasteful number, since it uses less digits than its factorization.

257648975360844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756510 (or 2756508 counting only the distinct ones).

The product of its (nonzero) digits is 9754214400, while the sum is 78.

The spelling of 257648975360844 in words is "two hundred fifty-seven trillion, six hundred forty-eight billion, nine hundred seventy-five million, three hundred sixty thousand, eight hundred forty-four".