220206717170244 has 288 divisors, whose sum is σ = 699924912261120. Its totient is φ = 56916956565504.

The previous prime is 220206717170201. The next prime is 220206717170371. The reversal of 220206717170244 is 442071717602022.

220206717170244 is a `hidden beast` number, since 2 + 2 + 0 + 206 + 71 + 71 + 70 + 244 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 220206717170244.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23730442 + ... + 31678814.

It is an arithmetic number, because the mean of its divisors is an integer number (2430294834240).

Almost surely, 2^{220206717170244} 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 220206717170244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349962456130560).

220206717170244 is an abundant number, since it is smaller than the sum of its proper divisors (479718195090876).

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

220206717170244 is a wasteful number, since it uses less digits than its factorization.

220206717170244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7948659 (or 7948654 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 220206717170244 in words is "two hundred twenty trillion, two hundred six billion, seven hundred seventeen million, one hundred seventy thousand, two hundred forty-four".