257633341128 has 96 divisors (see below), whose sum is σ = 701347079160. Its totient is φ = 85436881920.

The previous prime is 257633341087. The next prime is 257633341151. The reversal of 257633341128 is 821143336752.

257633341128 is a `hidden beast` number, since 2 + 5 + 7 + 633 + 3 + 4 + 1 + 1 + 2 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 218872394244 + 38760946884 = 467838^2 + 196878^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13492548 + ... + 13511628.

Almost surely, 2^257633341128 is an apocalyptic number.

It is an amenable number.

257633341128 is an abundant number, since it is smaller than the sum of its proper divisors (443713738032).

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

257633341128 is a wasteful number, since it uses less digits than its factorization.

257633341128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20047 (or 20040 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 257633341128 in words is "two hundred fifty-seven billion, six hundred thirty-three million, three hundred forty-one thousand, one hundred twenty-eight".