18832896289 has 9 divisors (see below), whose sum is σ = 19360870137. Its totient is φ = 18318958704.

The previous prime is 18832896263. The next prime is 18832896307. The reversal of 18832896289 is 98269823881.

The square root of 18832896289 is 137233.

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 821109025 + 18011787264 = 28655^2 + 134208^2 .

It is not a de Polignac number, because 18832896289 - 2²¹ = 18830799137 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 18832896289.

It is not an unprimeable number, because it can be changed into a prime (18832896689) 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 8 ways as a sum of consecutive naturals, for example, 5075767 + ... + 5079475.

It is an arithmetic number, because the mean of its divisors is an integer number (2151207793).

Almost surely, 2^18832896289 is an apocalyptic number.

18832896289 is the 137233-rd square number.

18832896289 is the 68617-th centered octagonal number.

It is an amenable number.

18832896289 is a deficient number, since it is larger than the sum of its proper divisors (527973848).

18832896289 is an frugal number, since it uses more digits than its factorization.

18832896289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7492 (or 3746 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 64.

Multiplying 18832896289 by its sum of digits (64), we get a square (1205305362496 = 1097864²).

The spelling of 18832896289 in words is "eighteen billion, eight hundred thirty-two million, eight hundred ninety-six thousand, two hundred eighty-nine".