22134595729 has 9 divisors (see below), whose sum is σ = 22754655441. Its totient is φ = 21531007440.

The previous prime is 22134595687. The next prime is 22134595739. The reversal of 22134595729 is 92759543122.

The square root of 22134595729 is 148777.

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

It can be written as a sum of positive squares in 4 ways, for example, as 157126225 + 21977469504 = 12535^2 + 148248^2 .

It is not a de Polignac number, because 22134595729 - 2²³ = 22126207121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22134595739) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5502739 + ... + 5506759.

It is an arithmetic number, because the mean of its divisors is an integer number (2528295049).

Almost surely, 2^22134595729 is an apocalyptic number.

22134595729 is the 148777-th square number.

22134595729 is the 74389-th centered octagonal number.

It is an amenable number.

22134595729 is a deficient number, since it is larger than the sum of its proper divisors (620059712).

22134595729 is an frugal number, since it uses more digits than its factorization.

22134595729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8116 (or 4058 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 49.

Multiplying 22134595729 by its sum of digits (49), we get a square (1084595190721 = 1041439²).

The spelling of 22134595729 in words is "twenty-two billion, one hundred thirty-four million, five hundred ninety-five thousand, seven hundred twenty-nine".