220768164162 has 162 divisors, whose sum is σ = 603015828363. Its totient is φ = 58176728064.

The previous prime is 220768164161. The next prime is 220768164203. The reversal of 220768164162 is 261461867022.

220768164162 is a `hidden beast` number, since 220 + 7 + 6 + 8 + 1 + 6 + 416 + 2 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 11206551321 + 209561612841 = 105861^2 + 457779^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=332241.

It is not an unprimeable number, because it can be changed into a prime (220768164161) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 181402978 + ... + 181404194.

Almost surely, 2^220768164162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220768164162

220768164162 is an abundant number, since it is smaller than the sum of its proper divisors (382247664201).

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

220768164162 is a wasteful number, since it uses less digits than its factorization.

220768164162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2482 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 220768164162 in words is "two hundred twenty billion, seven hundred sixty-eight million, one hundred sixty-four thousand, one hundred sixty-two".