256332634114001 has 8 divisors (see below), whose sum is σ = 259580330123520. Its totient is φ = 253085012582688.

The previous prime is 256332634113967. The next prime is 256332634114027. The reversal of 256332634114001 is 100411436233652.

It is a happy number.

256332634114001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 256332634114001 - 2⁶ = 256332634113937 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 256332634114001.

It is not an unprimeable number, because it can be changed into a prime (256332634110001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11676221 + ... + 25475466.

It is an arithmetic number, because the mean of its divisors is an integer number (32447541265440).

Almost surely, 2^{256332634114001} is an apocalyptic number.

It is an amenable number.

256332634114001 is a deficient number, since it is larger than the sum of its proper divisors (3247696009519).

256332634114001 is an equidigital number, since it uses as much as digits as its factorization.

256332634114001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37239103.

The product of its (nonzero) digits is 311040, while the sum is 41.

The spelling of 256332634114001 in words is "two hundred fifty-six trillion, three hundred thirty-two billion, six hundred thirty-four million, one hundred fourteen thousand, one".