257946945984 has 896 divisors, whose sum is σ = 988242554880. Its totient is φ = 64115048448.

The previous prime is 257946945887. The next prime is 257946946009. The reversal of 257946945984 is 489549649752.

257946945984 is a `hidden beast` number, since 2 + 5 + 7 + 94 + 6 + 9 + 459 + 84 = 666.

It is a super-2 number, since 2×257946945984² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 264018904 + ... + 264019880.

It is an arithmetic number, because the mean of its divisors is an integer number (1102949280).

Almost surely, 2^257946945984 is an apocalyptic number.

257946945984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257946945984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494121277440).

257946945984 is an abundant number, since it is smaller than the sum of its proper divisors (730295608896).

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

257946945984 is a wasteful number, since it uses less digits than its factorization.

257946945984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1098 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 72.

The spelling of 257946945984 in words is "two hundred fifty-seven billion, nine hundred forty-six million, nine hundred forty-five thousand, nine hundred eighty-four".