456143081664 has 56 divisors (see below), whose sum is σ = 1206998856000. Its totient is φ = 152032539904.

The previous prime is 456143081651. The next prime is 456143081753. The reversal of 456143081664 is 466180341654.

It is a super-3 number, since 3×456143081664³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1902667 + ... + 2128949.

It is an arithmetic number, because the mean of its divisors is an integer number (21553551000).

Almost surely, 2^456143081664 is an apocalyptic number.

It is an amenable number.

456143081664 is an abundant number, since it is smaller than the sum of its proper divisors (750855774336).

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

456143081664 is a wasteful number, since it uses less digits than its factorization.

456143081664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236797 (or 236787 counting only the distinct ones).

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

The spelling of 456143081664 in words is "four hundred fifty-six billion, one hundred forty-three million, eighty-one thousand, six hundred sixty-four".