220644307390464 has 520 divisors, whose sum is σ = 679448740468608. Its totient is φ = 71309969326080.

The previous prime is 220644307390459. The next prime is 220644307390483. The reversal of 220644307390464 is 464093703446022.

220644307390464 is a `hidden beast` number, since 2 + 2 + 0 + 6 + 443 + 0 + 73 + 90 + 46 + 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 220644307390464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1668435384 + ... + 1668567624.

Almost surely, 2^{220644307390464} is an apocalyptic number.

220644307390464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220644307390464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339724370234304).

220644307390464 is an abundant number, since it is smaller than the sum of its proper divisors (458804433078144).

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

220644307390464 is a wasteful number, since it uses less digits than its factorization.

220644307390464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132431 (or 132400 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 54.

The spelling of 220644307390464 in words is "two hundred twenty trillion, six hundred forty-four billion, three hundred seven million, three hundred ninety thousand, four hundred sixty-four".