92205144409 has 15 divisors (see below), whose sum is σ = 107583628607. Its totient is φ = 79020227496.

The previous prime is 92205144397. The next prime is 92205144413. The reversal of 92205144409 is 90444150229.

The square root of 92205144409 is 303653.

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., 36238833225 + 55966311184 = 190365^2 + 236572^2 .

It is not a de Polignac number, because 92205144409 - 2¹⁷ = 92205013337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (92205144419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 14875899 + ... + 14882095.

Almost surely, 2^92205144409 is an apocalyptic number.

92205144409 is the 303653-rd square number.

92205144409 is the 151827-th centered octagonal number.

It is an amenable number.

92205144409 is a deficient number, since it is larger than the sum of its proper divisors (15378484198).

92205144409 is an frugal number, since it uses more digits than its factorization.

92205144409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12422 (or 6204 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 92205144409 in words is "ninety-two billion, two hundred five million, one hundred forty-four thousand, four hundred nine".