456645424131 has 48 divisors (see below), whose sum is σ = 716989104832. Its totient is φ = 278393241600.

The previous prime is 456645424097. The next prime is 456645424133. The reversal of 456645424131 is 131424546654.

456645424131 is a `hidden beast` number, since 4 + 5 + 6 + 64 + 542 + 41 + 3 + 1 = 666.

It is not a de Polignac number, because 456645424131 - 2¹¹ = 456645422083 is a prime.

It is a super-2 number, since 2×456645424131² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (456645424133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5400066 + ... + 5483976.

Almost surely, 2^456645424131 is an apocalyptic number.

456645424131 is a deficient number, since it is larger than the sum of its proper divisors (260343680701).

456645424131 is a wasteful number, since it uses less digits than its factorization.

456645424131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84364 (or 84361 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 456645424131 in words is "four hundred fifty-six billion, six hundred forty-five million, four hundred twenty-four thousand, one hundred thirty-one".