220012631168 has 72 divisors (see below), whose sum is σ = 481902677865. Its totient is φ = 99979207680.

The previous prime is 220012631161. The next prime is 220012631171. The reversal of 220012631168 is 861136210022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 192903667264 + 27108963904 = 439208^2 + 164648^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=331672.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (220012631161) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 58372388 + ... + 58376156.

Almost surely, 2^220012631168 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 220012631168

220012631168 is an abundant number, since it is smaller than the sum of its proper divisors (261890046697).

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

220012631168 is an frugal number, since it uses more digits than its factorization.

220012631168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7574 (or 3782 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

Multiplying 220012631168 by its sum of digits (32), we get a square (7040404197376 = 2653376²).

220012631168 divided by its sum of digits (32) gives a square (6875394724 = 82918²).

The spelling of 220012631168 in words is "two hundred twenty billion, twelve million, six hundred thirty-one thousand, one hundred sixty-eight".