456218633664 has 224 divisors, whose sum is σ = 1405396224000. Its totient is φ = 144849374208.

The previous prime is 456218633659. The next prime is 456218633677. The reversal of 456218633664 is 466336812654.

456218633664 is a `hidden beast` number, since 4 + 5 + 6 + 218 + 63 + 366 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 456218633664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9474802 + ... + 9522830.

Almost surely, 2^456218633664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456218633664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702698112000).

456218633664 is an abundant number, since it is smaller than the sum of its proper divisors (949177590336).

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

456218633664 is a wasteful number, since it uses less digits than its factorization.

456218633664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48312 (or 48296 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 456218633664 in words is "four hundred fifty-six billion, two hundred eighteen million, six hundred thirty-three thousand, six hundred sixty-four".