22153749727729 has 9 divisors (see below), whose sum is σ = 22260239308281. Its totient is φ = 22047767230020.

The previous prime is 22153749727727. The next prime is 22153749727757. The reversal of 22153749727729 is 92772794735122.

The square root of 22153749727729 is 4706777.

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

It is not a de Polignac number, because 22153749727729 - 2¹ = 22153749727727 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22153749727727) 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 8 ways as a sum of consecutive naturals, for example, 993118794 + ... + 993141100.

Almost surely, 2^{22153749727729} is an apocalyptic number.

22153749727729 is the 4706777-th square number.

22153749727729 is the 2353389-th centered octagonal number.

It is an amenable number.

22153749727729 is a deficient number, since it is larger than the sum of its proper divisors (106489580552).

22153749727729 is an frugal number, since it uses more digits than its factorization.

22153749727729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45036 (or 22518 counting only the distinct ones).

The product of its digits is 186701760, while the sum is 67.

The spelling of 22153749727729 in words is "twenty-two trillion, one hundred fifty-three billion, seven hundred forty-nine million, seven hundred twenty-seven thousand, seven hundred twenty-nine".