256670459136 has 432 divisors, whose sum is σ = 915687275776. Its totient is φ = 67331948544.

The previous prime is 256670459113. The next prime is 256670459167. The reversal of 256670459136 is 631954076652.

256670459136 is a `hidden beast` number, since 2 + 56 + 6 + 7 + 0 + 459 + 136 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40461981 + ... + 40468323.

Almost surely, 2^256670459136 is an apocalyptic number.

256670459136 is a gapful number since it is divisible by the number (26) 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 256670459136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457843637888).

256670459136 is an abundant number, since it is smaller than the sum of its proper divisors (659016816640).

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

256670459136 is a wasteful number, since it uses less digits than its factorization.

256670459136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6578 (or 6561 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

It can be divided in two parts, 256670 and 459136, that added together give a triangular number (715806 = T₁₁₉₆).

The spelling of 256670459136 in words is "two hundred fifty-six billion, six hundred seventy million, four hundred fifty-nine thousand, one hundred thirty-six".