220584013332144 has 160 divisors (see below), whose sum is σ = 717350003994624. Its totient is φ = 56738291063040.

The previous prime is 220584013332073. The next prime is 220584013332233. The reversal of 220584013332144 is 441233310485022.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 220584013332096 and 220584013332105.

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, 289336894 + ... + 290098269.

Almost surely, 2^{220584013332144} is an apocalyptic number.

220584013332144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220584013332144 is an abundant number, since it is smaller than the sum of its proper divisors (496765990662480).

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

220584013332144 is a wasteful number, since it uses less digits than its factorization.

220584013332144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579435295 (or 579435289 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 220584013332144 in words is "two hundred twenty trillion, five hundred eighty-four billion, thirteen million, three hundred thirty-two thousand, one hundred forty-four".