22005577646689 has 12 divisors (see below), whose sum is σ = 27567426942804. Its totient is φ = 17411006489184.

The previous prime is 22005577646669. The next prime is 22005577646719. The reversal of 22005577646689 is 98664677550022.

It can be written as a sum of positive squares in 2 ways, for example, as 4920854890000 + 17084722756689 = 2218300^2 + 4133367^2 .

It is not a de Polignac number, because 22005577646689 - 2¹⁷ = 22005577515617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22005577646659) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17272823262 + ... + 17272824535.

It is an arithmetic number, because the mean of its divisors is an integer number (2297285578567).

Almost surely, 2^{22005577646689} is an apocalyptic number.

It is an amenable number.

22005577646689 is a deficient number, since it is larger than the sum of its proper divisors (5561849296115).

22005577646689 is a wasteful number, since it uses less digits than its factorization.

22005577646689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34545647824 (or 34545647817 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 67.

The spelling of 22005577646689 in words is "twenty-two trillion, five billion, five hundred seventy-seven million, six hundred forty-six thousand, six hundred eighty-nine".