18316972800 has 864 divisors, whose sum is σ = 80903155200. Its totient is φ = 3961405440.

The previous prime is 18316972799. The next prime is 18316972801. The reversal of 18316972800 is 827961381.

It is an interprime number because it is at equal distance from previous prime (18316972799) and next prime (18316972801).

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×18316972800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (18316972801) 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 95 ways as a sum of consecutive naturals, for example, 22982002 + ... + 22982798.

Almost surely, 2^18316972800 is an apocalyptic number.

18316972800 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 18316972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40451577600).

18316972800 is an abundant number, since it is smaller than the sum of its proper divisors (62586182400).

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

18316972800 is a wasteful number, since it uses less digits than its factorization.

18316972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 18316972800 in words is "eighteen billion, three hundred sixteen million, nine hundred seventy-two thousand, eight hundred".