18084410809344 has 1584 divisors, whose sum is σ = 62899296651360. Its totient is φ = 4953282969600.

The previous prime is 18084410809327. The next prime is 18084410809357. The reversal of 18084410809344 is 44390801448081.

18084410809344 is a `hidden beast` number, since 1 + 80 + 8 + 441 + 0 + 80 + 9 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-2 number, since 2×18084410809344² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 104534166442 + ... + 104534166614.

Almost surely, 2^{18084410809344} 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 18084410809344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31449648325680).

18084410809344 is an abundant number, since it is smaller than the sum of its proper divisors (44814885842016).

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

18084410809344 is a wasteful number, since it uses less digits than its factorization.

18084410809344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 18084410809344 in words is "eighteen trillion, eighty-four billion, four hundred ten million, eight hundred nine thousand, three hundred forty-four".