256743027224352 has 36 divisors (see below), whose sum is σ = 730112983670070. Its totient is φ = 85581009074688.

The previous prime is 256743027224311. The next prime is 256743027224399. The reversal of 256743027224352 is 253422720347652.

256743027224352 is a `hidden beast` number, since 2 + 5 + 6 + 7 + 43 + 0 + 27 + 224 + 352 = 666.

256743027224352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 207468186907536 + 49274840316816 = 14403756^2 + 7019604^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 445734421977 + ... + 445734422552.

Almost surely, 2^{256743027224352} is an apocalyptic number.

It is an amenable number.

256743027224352 is an abundant number, since it is smaller than the sum of its proper divisors (473369956445718).

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

256743027224352 is a wasteful number, since it uses less digits than its factorization.

256743027224352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891468844545 (or 891468844534 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 54.

The spelling of 256743027224352 in words is "two hundred fifty-six trillion, seven hundred forty-three billion, twenty-seven million, two hundred twenty-four thousand, three hundred fifty-two".