18271199241 has 45 divisors (see below), whose sum is σ = 28576066519. Its totient is φ = 11633356944.

The previous prime is 18271199231. The next prime is 18271199269. The reversal of 18271199241 is 14299117281.

The square root of 18271199241 is 135171.

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., 4251692025 + 14019507216 = 65205^2 + 118404^2 .

It is not a de Polignac number, because 18271199241 - 2²⁵ = 18237644809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18271199231) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 27980071 + ... + 27980723.

Almost surely, 2^18271199241 is an apocalyptic number.

18271199241 is the 135171-st square number.

18271199241 is the 67586-th centered octagonal number.

It is an amenable number.

18271199241 is a deficient number, since it is larger than the sum of its proper divisors (10304867278).

18271199241 is an frugal number, since it uses more digits than its factorization.

18271199241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 679 counting only the distinct ones).

The product of its digits is 72576, while the sum is 45.

The spelling of 18271199241 in words is "eighteen billion, two hundred seventy-one million, one hundred ninety-nine thousand, two hundred forty-one".