18666314956800 has 1440 divisors, whose sum is σ = 80455995299790. Its totient is φ = 4265843097600.

The previous prime is 18666314956789. The next prime is 18666314956829. The reversal of 18666314956800 is 865941366681.

It can be written as a sum of positive squares in 3 ways, for example, as 13819835990016 + 4846478966784 = 3717504^2 + 2201472^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 3251401930 + ... + 3251407670.

Almost surely, 2^{18666314956800} is an apocalyptic number.

18666314956800 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 18666314956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40227997649895).

18666314956800 is an abundant number, since it is smaller than the sum of its proper divisors (61789680342990).

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

18666314956800 is an frugal number, since it uses more digits than its factorization.

18666314956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5807 (or 5758 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 18666314956800 in words is "eighteen trillion, six hundred sixty-six billion, three hundred fourteen million, nine hundred fifty-six thousand, eight hundred".