18405831289344 has 320 divisors, whose sum is σ = 51655335811200. Its totient is φ = 5817378078720.

The previous prime is 18405831289333. The next prime is 18405831289357. The reversal of 18405831289344 is 44398213850481.

It is a super-2 number, since 2×18405831289344² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 448781799 + ... + 448822809.

It is an arithmetic number, because the mean of its divisors is an integer number (161422924410).

Almost surely, 2^{18405831289344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18405831289344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25827667905600).

18405831289344 is an abundant number, since it is smaller than the sum of its proper divisors (33249504521856).

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

18405831289344 is a wasteful number, since it uses less digits than its factorization.

18405831289344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41271 (or 41255 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 60.

The spelling of 18405831289344 in words is "eighteen trillion, four hundred five billion, eight hundred thirty-one million, two hundred eighty-nine thousand, three hundred forty-four".