256951592849 has 16 divisors (see below), whose sum is σ = 304131096576. Its totient is φ = 212522125200.

The previous prime is 256951592839. The next prime is 256951592851. The reversal of 256951592849 is 948295159652.

256951592849 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 256951592849 - 2¹² = 256951588753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (256951592819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5476697 + ... + 5523414.

It is an arithmetic number, because the mean of its divisors is an integer number (19008193536).

Almost surely, 2^256951592849 is an apocalyptic number.

It is an amenable number.

256951592849 is a deficient number, since it is larger than the sum of its proper divisors (47179503727).

256951592849 is a wasteful number, since it uses less digits than its factorization.

256951592849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11000236.

The product of its digits is 69984000, while the sum is 65.

The spelling of 256951592849 in words is "two hundred fifty-six billion, nine hundred fifty-one million, five hundred ninety-two thousand, eight hundred forty-nine".