256734261636256 has 192 divisors, whose sum is σ = 556021312358400. Its totient is φ = 116147722715136.

The previous prime is 256734261636233. The next prime is 256734261636263. The reversal of 256734261636256 is 652636162437652.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3435959665 + ... + 3436034383.

It is an arithmetic number, because the mean of its divisors is an integer number (2895944335200).

Almost surely, 2^{256734261636256} 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 256734261636256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278010656179200).

256734261636256 is an abundant number, since it is smaller than the sum of its proper divisors (299287050722144).

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

256734261636256 is a wasteful number, since it uses less digits than its factorization.

256734261636256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75711 (or 75703 counting only the distinct ones).

The product of its digits is 391910400, while the sum is 64.

The spelling of 256734261636256 in words is "two hundred fifty-six trillion, seven hundred thirty-four billion, two hundred sixty-one million, six hundred thirty-six thousand, two hundred fifty-six".