257462847508416 has 448 divisors, whose sum is σ = 822009337675776. Its totient is φ = 70155512627200.

The previous prime is 257462847508403. The next prime is 257462847508463. The reversal of 257462847508416 is 614805748264752.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 712477861 + ... + 712839131.

Almost surely, 2^{257462847508416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257462847508416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411004668837888).

257462847508416 is an abundant number, since it is smaller than the sum of its proper divisors (564546490167360).

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

257462847508416 is a wasteful number, since it uses less digits than its factorization.

257462847508416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362200 (or 362190 counting only the distinct ones).

The product of its (nonzero) digits is 722534400, while the sum is 69.

The spelling of 257462847508416 in words is "two hundred fifty-seven trillion, four hundred sixty-two billion, eight hundred forty-seven million, five hundred eight thousand, four hundred sixteen".