256472711361456 has 160 divisors (see below), whose sum is σ = 669908160038400. Its totient is φ = 84544101734400.

The previous prime is 256472711361421. The next prime is 256472711361463. The reversal of 256472711361456 is 654163117274652.

It is a self number, because there is not a number n which added to its sum of digits gives 256472711361456.

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, 29660306925 + ... + 29660315571.

It is an arithmetic number, because the mean of its divisors is an integer number (4186926000240).

Almost surely, 2^{256472711361456} 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 256472711361456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334954080019200).

256472711361456 is an abundant number, since it is smaller than the sum of its proper divisors (413435448676944).

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

256472711361456 is a wasteful number, since it uses less digits than its factorization.

256472711361456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15307 (or 15301 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 60.

The spelling of 256472711361456 in words is "two hundred fifty-six trillion, four hundred seventy-two billion, seven hundred eleven million, three hundred sixty-one thousand, four hundred fifty-six".