256044460686337 has 2 divisors, whose sum is σ = 256044460686338. Its totient is φ = 256044460686336.

The previous prime is 256044460686281. The next prime is 256044460686361. The reversal of 256044460686337 is 733686064440652.

256044460686337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 130160010095361 + 125884450590976 = 11408769^2 + 11219824^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-256044460686337 is a prime.

It is not a weakly prime, because it can be changed into another prime (256044460696337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128022230343168 + 128022230343169.

It is an arithmetic number, because the mean of its divisors is an integer number (128022230343169).

Almost surely, 2^{256044460686337} is an apocalyptic number.

It is an amenable number.

256044460686337 is a deficient number, since it is larger than the sum of its proper divisors (1).

256044460686337 is an equidigital number, since it uses as much as digits as its factorization.

256044460686337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 418037760, while the sum is 64.

The spelling of 256044460686337 in words is "two hundred fifty-six trillion, forty-four billion, four hundred sixty million, six hundred eighty-six thousand, three hundred thirty-seven".