220684653923712 has 384 divisors, whose sum is σ = 645558096516480. Its totient is φ = 66746673438720.

The previous prime is 220684653923693. The next prime is 220684653923729. The reversal of 220684653923712 is 217329356486022.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79468725268 + ... + 79468728044.

It is an arithmetic number, because the mean of its divisors is an integer number (1681140876345).

It is a 1-persistent number, because it is pandigital, but 2⋅220684653923712 = 441369307847424 is not.

Almost surely, 2^{220684653923712} is an apocalyptic number.

220684653923712 is a gapful number since it is divisible by the number (22) 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 220684653923712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322779048258240).

220684653923712 is an abundant number, since it is smaller than the sum of its proper divisors (424873442592768).

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

220684653923712 is a wasteful number, since it uses less digits than its factorization.

220684653923712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5462 (or 5439 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 60.

The spelling of 220684653923712 in words is "two hundred twenty trillion, six hundred eighty-four billion, six hundred fifty-three million, nine hundred twenty-three thousand, seven hundred twelve".