22913785129 has 27 divisors (see below), whose sum is σ = 25086126231. Its totient is φ = 20925803520.

The previous prime is 22913785123. The next prime is 22913785211. The reversal of 22913785129 is 92158731922.

The square root of 22913785129 is 151373.

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., 22558538025 + 355247104 = 150195^2 + 18848^2 .

It is not a de Polignac number, because 22913785129 - 2⁷ = 22913785001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22913785123) 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 26 ways as a sum of consecutive naturals, for example, 89158569 + ... + 89158825.

Almost surely, 2^22913785129 is an apocalyptic number.

22913785129 is the 151373-rd square number.

22913785129 is the 75687-th centered octagonal number.

It is an amenable number.

22913785129 is a deficient number, since it is larger than the sum of its proper divisors (2172341102).

22913785129 is an frugal number, since it uses more digits than its factorization.

22913785129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 307 counting only the distinct ones).

The product of its digits is 544320, while the sum is 49.

Multiplying 22913785129 by its sum of digits (49), we get a square (1122775471321 = 1059611²).

The spelling of 22913785129 in words is "twenty-two billion, nine hundred thirteen million, seven hundred eighty-five thousand, one hundred twenty-nine".