22890186728161 has 27 divisors (see below), whose sum is σ = 23592798851251. Its totient is φ = 22208351948864.

The previous prime is 22890186728107. The next prime is 22890186728197. The reversal of 22890186728161 is 16182768109822.

It is a happy number.

The square root of 22890186728161 is 4784369.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 21415283352225 + 1474903375936 = 4627665^2 + 1214456^2 .

It is not a de Polignac number, because 22890186728161 - 2²¹ = 22890184631009 is a prime.

It is a super-2 number, since 2×22890186728161² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22890186728161.

It is not an unprimeable number, because it can be changed into a prime (22890186798161) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23429054505 + ... + 23429055481.

Almost surely, 2^{22890186728161} is an apocalyptic number.

22890186728161 is the 4784369-th square number.

22890186728161 is the 2392185-th centered octagonal number.

It is an amenable number.

22890186728161 is a deficient number, since it is larger than the sum of its proper divisors (702612123090).

22890186728161 is an frugal number, since it uses more digits than its factorization.

22890186728161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 61.

The spelling of 22890186728161 in words is "twenty-two trillion, eight hundred ninety billion, one hundred eighty-six million, seven hundred twenty-eight thousand, one hundred sixty-one".