220765317108864 has 512 divisors, whose sum is σ = 674870182272000. Its totient is φ = 63238210928640.

The previous prime is 220765317108859. The next prime is 220765317108887. The reversal of 220765317108864 is 468801713567022.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 220765317108798 and 220765317108807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132274005822 + ... + 132274007490.

It is an arithmetic number, because the mean of its divisors is an integer number (1318105824750).

Almost surely, 2^{220765317108864} is an apocalyptic number.

220765317108864 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 220765317108864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337435091136000).

220765317108864 is an abundant number, since it is smaller than the sum of its proper divisors (454104865163136).

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

220765317108864 is a wasteful number, since it uses less digits than its factorization.

220765317108864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4356 (or 4344 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 60.

The spelling of 220765317108864 in words is "two hundred twenty trillion, seven hundred sixty-five billion, three hundred seventeen million, one hundred eight thousand, eight hundred sixty-four".