22164361129 has 7 divisors (see below), whose sum is σ = 22590598843. Its totient is φ = 21746165636.

The previous prime is 22164361111. The next prime is 22164361147. The reversal of 22164361129 is 92116346122.

It is a happy number.

The square root of 22164361129 is 148877.

The cubic root of 22164361129 is 2809.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (22164361111) and next prime (22164361147).

It can be written as a sum of positive squares in 3 ways, for example, as 216531225 + 21947829904 = 14715^2 + 148148^2 .

It is not a de Polignac number, because 22164361129 - 2¹¹ = 22164359081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22164361189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 418195467 + ... + 418195519.

Almost surely, 2^22164361129 is an apocalyptic number.

22164361129 is the 148877-th square number.

22164361129 is the 74439-th centered octagonal number.

It is an amenable number.

22164361129 is a deficient number, since it is larger than the sum of its proper divisors (426237714).

22164361129 is an frugal number, since it uses more digits than its factorization.

22164361129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 53 counting only the distinct ones).

The product of its digits is 31104, while the sum is 37.

The spelling of 22164361129 in words is "twenty-two billion, one hundred sixty-four million, three hundred sixty-one thousand, one hundred twenty-nine".