456394408221 has 16 divisors (see below), whose sum is σ = 626643769664. Its totient is φ = 295294132224.

The previous prime is 456394408219. The next prime is 456394408229. The reversal of 456394408221 is 122804493654.

It is not a de Polignac number, because 456394408221 - 2¹ = 456394408219 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456394408229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11247076 + ... + 11287581.

It is an arithmetic number, because the mean of its divisors is an integer number (39165235604).

Almost surely, 2^456394408221 is an apocalyptic number.

It is an amenable number.

456394408221 is a deficient number, since it is larger than the sum of its proper divisors (170249361443).

456394408221 is a wasteful number, since it uses less digits than its factorization.

456394408221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22534860.

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 456394408221 in words is "four hundred fifty-six billion, three hundred ninety-four million, four hundred eight thousand, two hundred twenty-one".