22167338769 has 45 divisors (see below), whose sum is σ = 33731907979. Its totient is φ = 14507549280.

The previous prime is 22167338761. The next prime is 22167338773. The reversal of 22167338769 is 96783376122.

The square root of 22167338769 is 148887.

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., 4501739025 + 17665599744 = 67095^2 + 132912^2 .

It is not a de Polignac number, because 22167338769 - 2³ = 22167338761 is a prime.

It is a super-2 number, since 2×22167338769² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22167338761) 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 44 ways as a sum of consecutive naturals, for example, 95138677 + ... + 95138909.

Almost surely, 2^22167338769 is an apocalyptic number.

22167338769 is the 148887-th square number.

22167338769 is the 74444-th centered octagonal number.

It is an amenable number.

22167338769 is a deficient number, since it is larger than the sum of its proper divisors (11564569210).

22167338769 is an frugal number, since it uses more digits than its factorization.

22167338769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 307 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 22167338769 in words is "twenty-two billion, one hundred sixty-seven million, three hundred thirty-eight thousand, seven hundred sixty-nine".