18193338583225 has 81 divisors (see below), whose sum is σ = 24624094393197. Its totient is φ = 13328412552000.

The previous prime is 18193338583219. The next prime is 18193338583307. The reversal of 18193338583225 is 52238583339181.

The square root of 18193338583225 is 4265365.

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 4689359933049 + 13503978650176 = 2165493^2 + 3674776^2 .

It is not a de Polignac number, because 18193338583225 - 2⁵ = 18193338583193 is a prime.

Its product of digits (37324800) is a multiple of the sum of its prime divisors (540).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 58499480820 + ... + 58499481130.

Almost surely, 2^{18193338583225} is an apocalyptic number.

18193338583225 is the 4265365-th square number.

18193338583225 is the 2132683-rd centered octagonal number.

It is an amenable number.

18193338583225 is a deficient number, since it is larger than the sum of its proper divisors (6430755809972).

18193338583225 is an frugal number, since it uses more digits than its factorization.

18193338583225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 540 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 61.

The spelling of 18193338583225 in words is "eighteen trillion, one hundred ninety-three billion, three hundred thirty-eight million, five hundred eighty-three thousand, two hundred twenty-five".