256738432144 has 20 divisors (see below), whose sum is σ = 519058135296. Its totient is φ = 122787945632.

The previous prime is 256738432103. The next prime is 256738432157. The reversal of 256738432144 is 441234837652.

256738432144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 348829024 + ... + 348829759.

Almost surely, 2^256738432144 is an apocalyptic number.

It is an amenable number.

256738432144 is an abundant number, since it is smaller than the sum of its proper divisors (262319703152).

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

256738432144 is a wasteful number, since it uses less digits than its factorization.

256738432144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697658814 (or 697658808 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 49.

The spelling of 256738432144 in words is "two hundred fifty-six billion, seven hundred thirty-eight million, four hundred thirty-two thousand, one hundred forty-four".