456630153661 has 32 divisors (see below), whose sum is σ = 515692469376. Its totient is φ = 400729728000.

The previous prime is 456630153653. The next prime is 456630153671. The reversal of 456630153661 is 166351036654.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 456630153661 - 2³ = 456630153653 is a prime.

It is a super-2 number, since 2×456630153661² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456630153671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16448985 + ... + 16476721.

It is an arithmetic number, because the mean of its divisors is an integer number (16115389668).

Almost surely, 2^456630153661 is an apocalyptic number.

456630153661 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

456630153661 is a deficient number, since it is larger than the sum of its proper divisors (59062315715).

456630153661 is a wasteful number, since it uses less digits than its factorization.

456630153661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28173.

The product of its (nonzero) digits is 1166400, while the sum is 46.

The spelling of 456630153661 in words is "four hundred fifty-six billion, six hundred thirty million, one hundred fifty-three thousand, six hundred sixty-one".