257363657444 has 12 divisors (see below), whose sum is σ = 450847396524. Its totient is φ = 128550115584.

The previous prime is 257363657417. The next prime is 257363657527. The reversal of 257363657444 is 444756363752.

257363657444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 158692283044 + 98671374400 = 398362^2 + 314120^2 .

It is a super-2 number, since 2×257363657444² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 257363657444.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32923889 + ... + 32931704.

It is an arithmetic number, because the mean of its divisors is an integer number (37570616377).

Almost surely, 2^257363657444 is an apocalyptic number.

It is an amenable number.

257363657444 is a deficient number, since it is larger than the sum of its proper divisors (193483739080).

257363657444 is a wasteful number, since it uses less digits than its factorization.

257363657444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65856574 (or 65856572 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 56.

The spelling of 257363657444 in words is "two hundred fifty-seven billion, three hundred sixty-three million, six hundred fifty-seven thousand, four hundred forty-four".