256652173248 has 112 divisors (see below), whose sum is σ = 683375949984. Its totient is φ = 85007646720.

The previous prime is 256652173241. The next prime is 256652173249. The reversal of 256652173248 is 842371256652.

256652173248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (4838400) is a multiple of the sum of its prime divisors (6300).

It is a self number, because there is not a number n which added to its sum of digits gives 256652173248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256652173241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57581836 + ... + 57586292.

It is an arithmetic number, because the mean of its divisors is an integer number (6101570982).

Almost surely, 2^256652173248 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 256652173248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341687974992).

256652173248 is an abundant number, since it is smaller than the sum of its proper divisors (426723776736).

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

256652173248 is a wasteful number, since it uses less digits than its factorization.

256652173248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6310 (or 6300 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 51.

The spelling of 256652173248 in words is "two hundred fifty-six billion, six hundred fifty-two million, one hundred seventy-three thousand, two hundred forty-eight".