22138088342769 has 81 divisors (see below), whose sum is σ = 37828111613409. Its totient is φ = 12439565953920.

The previous prime is 22138088342759. The next prime is 22138088342819. The reversal of 22138088342769 is 96724388083122.

The square root of 22138088342769 is 4705113.

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

22138088342769 is a `hidden beast` number, since 2 + 213 + 8 + 0 + 8 + 8 + 342 + 76 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18143638416225 + 3994449926544 = 4259535^2 + 1998612^2 .

It is not a de Polignac number, because 22138088342769 - 2¹⁵ = 22138088310001 is a prime.

It is a super-2 number, since 2×22138088342769² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (22138088342759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6027247917 + ... + 6027251589.

Almost surely, 2^{22138088342769} is an apocalyptic number.

22138088342769 is the 4705113-rd square number.

22138088342769 is the 2352557-th centered octagonal number.

It is an amenable number.

22138088342769 is a deficient number, since it is larger than the sum of its proper divisors (15690023270640).

22138088342769 is an frugal number, since it uses more digits than its factorization.

22138088342769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7488 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 22138088342769 in words is "twenty-two trillion, one hundred thirty-eight billion, eighty-eight million, three hundred forty-two thousand, seven hundred sixty-nine".