22522324166641 has 16 divisors (see below), whose sum is σ = 24272741323600. Its totient is φ = 20774471086080.

The previous prime is 22522324166627. The next prime is 22522324166701. The reversal of 22522324166641 is 14666142322522.

It can be written as a sum of positive squares in 8 ways, for example, as 1444813616016 + 21077510550625 = 1202004^2 + 4591025^2 .

It is a cyclic number.

It is not a de Polignac number, because 22522324166641 - 2²⁷ = 22522189948913 is a prime.

It is a super-3 number, since 3×22522324166641³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22522324166591 and 22522324166600.

It is not an unprimeable number, because it can be changed into a prime (22522324106641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243067681 + ... + 243160321.

It is an arithmetic number, because the mean of its divisors is an integer number (1517046332725).

Almost surely, 2^{22522324166641} is an apocalyptic number.

It is an amenable number.

22522324166641 is a deficient number, since it is larger than the sum of its proper divisors (1750417156959).

22522324166641 is a wasteful number, since it uses less digits than its factorization.

22522324166641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106276.

The product of its digits is 1658880, while the sum is 46.

The spelling of 22522324166641 in words is "twenty-two trillion, five hundred twenty-two billion, three hundred twenty-four million, one hundred sixty-six thousand, six hundred forty-one".