18816000000 has 588 divisors, whose sum is σ = 72954613044. Its totient is φ = 4300800000.

The previous prime is 18815999987. The next prime is 18816000001. The reversal of 18816000000 is 61881.

It is a tau number, because it is divible by the number of its divisors (588).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18816000001) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2687999997 + ... + 2688000003.

Almost surely, 2^18816000000 is an apocalyptic number.

18816000000 is a gapful number since it is divisible by the number (10) 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 18816000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36477306522).

18816000000 is an abundant number, since it is smaller than the sum of its proper divisors (54138613044).

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

18816000000 is an frugal number, since it uses more digits than its factorization.

18816000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Multiplying 18816000000 by its sum of digits (24), we get a square (451584000000 = 672000²).

18816000000 divided by its sum of digits (24) gives a square (784000000 = 28000²).

Multiplying 18816000000 by its product of nonzero digits (384), we get a square (7225344000000 = 2688000²).

18816000000 divided by its product of nonzero digits (384) gives a square (49000000 = 7000²).

Adding to 18816000000 its reverse (61881), we get a palindrome (18816061881).

The spelling of 18816000000 in words is "eighteen billion, eight hundred sixteen million", and thus it is an aban number.