456420616222401 has 6 divisors (see below), whose sum is σ = 659274223432370. Its totient is φ = 304280410814928.

The previous prime is 456420616222391. The next prime is 456420616222411. The reversal of 456420616222401 is 104222616024654.

456420616222401 is a `hidden beast` number, since 4 + 5 + 6 + 4 + 2 + 0 + 6 + 16 + 222 + 401 = 666.

It is an interprime number because it is at equal distance from previous prime (456420616222391) and next prime (456420616222411).

It can be written as a sum of positive squares in only one way, i.e., 449294791730625 + 7125824491776 = 21196575^2 + 2669424^2 .

It is not a de Polignac number, because 456420616222401 - 2⁵ = 456420616222369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456420616222411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25356700901236 + ... + 25356700901253.

Almost surely, 2^{456420616222401} is an apocalyptic number.

It is an amenable number.

456420616222401 is a deficient number, since it is larger than the sum of its proper divisors (202853607209969).

456420616222401 is a wasteful number, since it uses less digits than its factorization.

456420616222401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50713401802495 (or 50713401802492 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 456420616222401 in words is "four hundred fifty-six trillion, four hundred twenty billion, six hundred sixteen million, two hundred twenty-two thousand, four hundred one".