18814305807360 has 4224 divisors, whose sum is σ = 86326935552000. Its totient is φ = 3769028444160.

The previous prime is 18814305807299. The next prime is 18814305807397. The reversal of 18814305807360 is 6370850341881.

It is a happy number.

18814305807360 is a `hidden beast` number, since 1 + 8 + 8 + 1 + 430 + 5 + 80 + 73 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 18814305807297 and 18814305807306.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 400304378857 + ... + 400304378903.

It is an arithmetic number, because the mean of its divisors is an integer number (20437248000).

Almost surely, 2^{18814305807360} is an apocalyptic number.

18814305807360 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 18814305807360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43163467776000).

18814305807360 is an abundant number, since it is smaller than the sum of its proper divisors (67512629744640).

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

18814305807360 is a wasteful number, since it uses less digits than its factorization.

18814305807360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 18814305807360 in words is "eighteen trillion, eight hundred fourteen billion, three hundred five million, eight hundred seven thousand, three hundred sixty".