257705464689 has 12 divisors (see below), whose sum is σ = 378343542772. Its totient is φ = 168987189600.

The previous prime is 257705464661. The next prime is 257705464697. The reversal of 257705464689 is 986464507752.

257705464689 is a `hidden beast` number, since 2 + 5 + 7 + 7 + 0 + 546 + 4 + 6 + 89 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13452056289 + 244253408400 = 115983^2 + 494220^2 .

It is not a de Polignac number, because 257705464689 - 2¹³ = 257705456497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257705460689) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 234703882 + ... + 234704979.

Almost surely, 2^257705464689 is an apocalyptic number.

It is an amenable number.

257705464689 is a deficient number, since it is larger than the sum of its proper divisors (120638078083).

257705464689 is a wasteful number, since it uses less digits than its factorization.

257705464689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469408928 (or 469408925 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 257705464689 in words is "two hundred fifty-seven billion, seven hundred five million, four hundred sixty-four thousand, six hundred eighty-nine".