456794872934401 has 8 divisors (see below), whose sum is σ = 465695605720800. Its totient is φ = 447932755041600.

The previous prime is 456794872934377. The next prime is 456794872934423. The reversal of 456794872934401 is 104439278497654.

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 456794872934401 - 2⁵ = 456794872934369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456794872904401) 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 7 ways as a sum of consecutive naturals, for example, 9653699511 + ... + 9653746828.

It is an arithmetic number, because the mean of its divisors is an integer number (58211950715100).

It is a 2-persistent number, because it is pandigital, and so is 2⋅456794872934401 = 913589745868802, but 3⋅456794872934401 = 1370384618803203 is not.

Almost surely, 2^{456794872934401} is an apocalyptic number.

It is an amenable number.

456794872934401 is a deficient number, since it is larger than the sum of its proper divisors (8900732786399).

456794872934401 is a wasteful number, since it uses less digits than its factorization.

456794872934401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19307446799.

The product of its (nonzero) digits is 1463132160, while the sum is 73.

The spelling of 456794872934401 in words is "four hundred fifty-six trillion, seven hundred ninety-four billion, eight hundred seventy-two million, nine hundred thirty-four thousand, four hundred one".