18318430972800 has 1536 divisors, whose sum is σ = 78034112640000. Its totient is φ = 4161685340160.

The previous prime is 18318430972799. The next prime is 18318430972901. The reversal of 18318430972800 is 827903481381.

It is a happy number.

18318430972800 is a `hidden beast` number, since 1 + 8 + 318 + 43 + 0 + 9 + 7 + 280 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8768994156 + ... + 8768996244.

It is an arithmetic number, because the mean of its divisors is an integer number (50803458750).

Almost surely, 2^{18318430972800} is an apocalyptic number.

18318430972800 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 18318430972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39017056320000).

18318430972800 is an abundant number, since it is smaller than the sum of its proper divisors (59715681667200).

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

18318430972800 is an equidigital number, since it uses as much as digits as its factorization.

18318430972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 18318430972800 in words is "eighteen trillion, three hundred eighteen billion, four hundred thirty million, nine hundred seventy-two thousand, eight hundred".