18397312876800 has 1728 divisors, whose sum is σ = 81991089734400. Its totient is φ = 3974764953600.

The previous prime is 18397312876769. The next prime is 18397312876849. The reversal of 18397312876800 is 867821379381.

18397312876800 is a `hidden beast` number, since 1 + 83 + 97 + 312 + 87 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×18397312876800² (a number of 27 digits) contains 22 as substring.

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, 716588764 + ... + 716614436.

It is an arithmetic number, because the mean of its divisors is an integer number (47448547300).

Almost surely, 2^{18397312876800} is an apocalyptic number.

18397312876800 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 18397312876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40995544867200).

18397312876800 is an abundant number, since it is smaller than the sum of its proper divisors (63593776857600).

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

18397312876800 is a wasteful number, since it uses less digits than its factorization.

18397312876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25761 (or 25736 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 18397312876800 in words is "eighteen trillion, three hundred ninety-seven billion, three hundred twelve million, eight hundred seventy-six thousand, eight hundred".