22084162985641 has 27 divisors (see below), whose sum is σ = 23025356922789. Its totient is φ = 21181041028800.

The previous prime is 22084162985627. The next prime is 22084162985663. The reversal of 22084162985641 is 14658926148022.

The square root of 22084162985641 is 4699379.

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

It can be written as a sum of positive squares in 4 ways, for example, as 18693335369241 + 3390827616400 = 4323579^2 + 1841420^2 .

It is not a de Polignac number, because 22084162985641 - 2⁷ = 22084162985513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22084162985611) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 11753145940 + ... + 11753147818.

Almost surely, 2^{22084162985641} is an apocalyptic number.

22084162985641 is the 4699379-th square number.

22084162985641 is the 2349690-th centered octagonal number.

It is an amenable number.

22084162985641 is a deficient number, since it is larger than the sum of its proper divisors (941193937148).

22084162985641 is an frugal number, since it uses more digits than its factorization.

22084162985641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3962 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 58.

The spelling of 22084162985641 in words is "twenty-two trillion, eighty-four billion, one hundred sixty-two million, nine hundred eighty-five thousand, six hundred forty-one".