456250134401 has 16 divisors (see below), whose sum is σ = 482525180928. Its totient is φ = 430825651200.

The previous prime is 456250134391. The next prime is 456250134407. The reversal of 456250134401 is 104431052654.

It is a cyclic number.

It is not a de Polignac number, because 456250134401 - 2²² = 456245940097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456250134407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 855020 + ... + 1282013.

It is an arithmetic number, because the mean of its divisors is an integer number (30157823808).

Almost surely, 2^456250134401 is an apocalyptic number.

It is an amenable number.

456250134401 is a deficient number, since it is larger than the sum of its proper divisors (26275046527).

456250134401 is a wasteful number, since it uses less digits than its factorization.

456250134401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137232.

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 456250134401 in words is "four hundred fifty-six billion, two hundred fifty million, one hundred thirty-four thousand, four hundred one".