18204084864 has 576 divisors, whose sum is σ = 64141908480. Its totient is φ = 4935168000.

The previous prime is 18204084863. The next prime is 18204084883. The reversal of 18204084864 is 46848040281.

18204084864 is a `hidden beast` number, since 182 + 0 + 408 + 4 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (18204084863) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 176738637 + ... + 176738739.

It is an arithmetic number, because the mean of its divisors is an integer number (111357480).

Almost surely, 2^18204084864 is an apocalyptic number.

18204084864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18204084864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32070954240).

18204084864 is an abundant number, since it is smaller than the sum of its proper divisors (45937823616).

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

18204084864 is a wasteful number, since it uses less digits than its factorization.

18204084864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 18204084864 in words is "eighteen billion, two hundred four million, eighty-four thousand, eight hundred sixty-four".