18254982321 has 27 divisors (see below), whose sum is σ = 27326509249. Its totient is φ = 11742767232.

The previous prime is 18254982301. The next prime is 18254982349. The reversal of 18254982321 is 12328945281.

The square root of 18254982321 is 135111.

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

18254982321 is a `hidden beast` number, since 1 + 8 + 2 + 549 + 82 + 3 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3264408225 + 14990574096 = 57135^2 + 122436^2 .

It is a de Polignac number, because none of the positive numbers 2^k-18254982321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18254982301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11753881 + ... + 11755433.

Almost surely, 2^18254982321 is an apocalyptic number.

18254982321 is the 135111-st square number.

18254982321 is the 67556-th centered octagonal number.

It is an amenable number.

18254982321 is a deficient number, since it is larger than the sum of its proper divisors (9071526928).

18254982321 is an frugal number, since it uses more digits than its factorization.

18254982321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3170 (or 1585 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 18254982321 in words is "eighteen billion, two hundred fifty-four million, nine hundred eighty-two thousand, three hundred twenty-one".