256633726146 has 64 divisors (see below), whose sum is σ = 621335100672. Its totient is φ = 68984266752.

The previous prime is 256633726109. The next prime is 256633726177. The reversal of 256633726146 is 641627336652.

256633726146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 1829460 + ... + 1964736.

It is an arithmetic number, because the mean of its divisors is an integer number (9708360948).

Almost surely, 2^256633726146 is an apocalyptic number.

256633726146 is an abundant number, since it is smaller than the sum of its proper divisors (364701374526).

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

256633726146 is a wasteful number, since it uses less digits than its factorization.

256633726146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137963.

The product of its digits is 6531840, while the sum is 51.

The spelling of 256633726146 in words is "two hundred fifty-six billion, six hundred thirty-three million, seven hundred twenty-six thousand, one hundred forty-six".