257649415712 has 24 divisors (see below), whose sum is σ = 546266310156. Its totient is φ = 118915114752.

The previous prime is 257649415669. The next prime is 257649415733. The reversal of 257649415712 is 217514946752.

257649415712 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 184552723216 + 73096692496 = 429596^2 + 270364^2 .

It is a super-3 number, since 3×257649415712³ (a number of 35 digits) contains 333 as substring.

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, 309674363 + ... + 309675194.

Almost surely, 2^257649415712 is an apocalyptic number.

It is an amenable number.

257649415712 is an abundant number, since it is smaller than the sum of its proper divisors (288616894444).

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

257649415712 is a wasteful number, since it uses less digits than its factorization.

257649415712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619349580 (or 619349572 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 53.

The spelling of 257649415712 in words is "two hundred fifty-seven billion, six hundred forty-nine million, four hundred fifteen thousand, seven hundred twelve".