256816867344 has 40 divisors (see below), whose sum is σ = 663499170240. Its totient is φ = 85598448768.

The previous prime is 256816867339. The next prime is 256816867357. The reversal of 256816867344 is 443768618652.

It is a happy number.

256816867344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×256816867344² (a number of 24 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 370869 + ... + 806955.

It is an arithmetic number, because the mean of its divisors is an integer number (16587479256).

Almost surely, 2^256816867344 is an apocalyptic number.

256816867344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

256816867344 is an abundant number, since it is smaller than the sum of its proper divisors (406682302896).

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

256816867344 is a wasteful number, since it uses less digits than its factorization.

256816867344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448367 (or 448361 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 60.

The spelling of 256816867344 in words is "two hundred fifty-six billion, eight hundred sixteen million, eight hundred sixty-seven thousand, three hundred forty-four".