256623324477201 has 48 divisors (see below), whose sum is σ = 409932898926720. Its totient is φ = 153392255919360.

The previous prime is 256623324477011. The next prime is 256623324477283. The reversal of 256623324477201 is 102774423326652.

It is a happy number.

256623324477201 is a `hidden beast` number, since 2 + 5 + 6 + 62 + 332 + 4 + 47 + 7 + 201 = 666.

It is not a de Polignac number, because 256623324477201 - 2¹⁸ = 256623324215057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (256623324477901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172759035 + ... + 174238143.

It is an arithmetic number, because the mean of its divisors is an integer number (8540268727640).

Almost surely, 2^{256623324477201} is an apocalyptic number.

It is an amenable number.

256623324477201 is a deficient number, since it is larger than the sum of its proper divisors (153309574449519).

256623324477201 is a wasteful number, since it uses less digits than its factorization.

256623324477201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503206 (or 1503203 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 256623324477201 in words is "two hundred fifty-six trillion, six hundred twenty-three billion, three hundred twenty-four million, four hundred seventy-seven thousand, two hundred one".