256864343616 has 168 divisors, whose sum is σ = 767945453184. Its totient is φ = 85125634560.

The previous prime is 256864343587. The next prime is 256864343629. The reversal of 256864343616 is 616343468652.

256864343616 is a `hidden beast` number, since 2 + 568 + 6 + 4 + 34 + 36 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 2642761 + ... + 2738231.

It is an arithmetic number, because the mean of its divisors is an integer number (4571103888).

Almost surely, 2^256864343616 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 256864343616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383972726592).

256864343616 is an abundant number, since it is smaller than the sum of its proper divisors (511081109568).

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

256864343616 is an equidigital number, since it uses as much as digits as its factorization.

256864343616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95671 (or 95649 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 256864343616 in words is "two hundred fifty-six billion, eight hundred sixty-four million, three hundred forty-three thousand, six hundred sixteen".