456464556144 has 40 divisors (see below), whose sum is σ = 1310222338320. Its totient is φ = 152154851904.

The previous prime is 456464556109. The next prime is 456464556157. The reversal of 456464556144 is 441655464654.

456464556144 is a `hidden beast` number, since 4 + 5 + 6 + 46 + 4 + 556 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 528315027 + ... + 528315890.

It is an arithmetic number, because the mean of its divisors is an integer number (32755558458).

Almost surely, 2^456464556144 is an apocalyptic number.

It is an amenable number.

456464556144 is an abundant number, since it is smaller than the sum of its proper divisors (853757782176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

456464556144 is a wasteful number, since it uses less digits than its factorization.

456464556144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056630934 (or 1056630922 counting only the distinct ones).

The product of its digits is 27648000, while the sum is 54.

The spelling of 456464556144 in words is "four hundred fifty-six billion, four hundred sixty-four million, five hundred fifty-six thousand, one hundred forty-four".