18015008400 has 135 divisors (see below), whose sum is σ = 62545042651. Its totient is φ = 4801854720.

The previous prime is 18015008387. The next prime is 18015008419. The reversal of 18015008400 is 480051081.

The square root of 18015008400 is 134220.

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

18015008400 is a `hidden beast` number, since 1 + 80 + 1 + 500 + 84 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 540283536 + 17474724864 = 23244^2 + 132192^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8052082 + ... + 8054318.

Almost surely, 2^18015008400 is an apocalyptic number.

18015008400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18015008400 is the 134220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18015008400

18015008400 is an abundant number, since it is smaller than the sum of its proper divisors (44530034251).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18015008400 is an equidigital number, since it uses as much as digits as its factorization.

18015008400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4498 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

Adding to 18015008400 its reverse (480051081), we get a palindrome (18495059481).

The spelling of 18015008400 in words is "eighteen billion, fifteen million, eight thousand, four hundred".