18083271468249 has 27 divisors (see below), whose sum is σ = 28284350672253. Its totient is φ = 11128064998752.

The previous prime is 18083271468247. The next prime is 18083271468337. The reversal of 18083271468249 is 94286417238081.

It is a happy number.

The square root of 18083271468249 is 4252443.

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

18083271468249 is a `hidden beast` number, since 1 + 8 + 0 + 8 + 327 + 1 + 4 + 68 + 249 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12665363498649 + 5417907969600 = 3558843^2 + 2327640^2 .

It is not a de Polignac number, because 18083271468249 - 2¹ = 18083271468247 is a prime.

It is not an unprimeable number, because it can be changed into a prime (18083271468247) 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 26 ways as a sum of consecutive naturals, for example, 165790759 + ... + 165899795.

Almost surely, 2^{18083271468249} is an apocalyptic number.

18083271468249 is the 4252443-rd square number.

18083271468249 is the 2126222-nd centered octagonal number.

It is an amenable number.

18083271468249 is a deficient number, since it is larger than the sum of its proper divisors (10201079204004).

18083271468249 is an frugal number, since it uses more digits than its factorization.

18083271468249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218106 (or 109053 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 18083271468249 in words is "eighteen trillion, eighty-three billion, two hundred seventy-one million, four hundred sixty-eight thousand, two hundred forty-nine".