456022953315 has 12 divisors (see below), whose sum is σ = 790439785824. Its totient is φ = 243212241744.

The previous prime is 456022953263. The next prime is 456022953329. The reversal of 456022953315 is 513359220654.

456022953315 is a `hidden beast` number, since 4 + 5 + 60 + 229 + 53 + 315 = 666.

It is not a de Polignac number, because 456022953315 - 2¹⁸ = 456022691171 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 10133843407 = 456022953315 / (4 + 5 + 6 + 0 + 2 + 2 + 9 + 5 + 3 + 3 + 1 + 5).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5066921659 + ... + 5066921748.

It is an arithmetic number, because the mean of its divisors is an integer number (65869982152).

Almost surely, 2^456022953315 is an apocalyptic number.

456022953315 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

456022953315 is a deficient number, since it is larger than the sum of its proper divisors (334416832509).

456022953315 is a wasteful number, since it uses less digits than its factorization.

456022953315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10133843418 (or 10133843415 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 456022953315 in words is "four hundred fifty-six billion, twenty-two million, nine hundred fifty-three thousand, three hundred fifteen".