18444085116600 has 1152 divisors, whose sum is σ = 70469809643520. Its totient is φ = 3933878784000.

The previous prime is 18444085116511. The next prime is 18444085116601. The reversal of 18444085116600 is 661158044481.

It is a self number, because there is not a number n which added to its sum of digits gives 18444085116600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18444085116601) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 17383680070 + ... + 17383681130.

It is an arithmetic number, because the mean of its divisors is an integer number (61171709760).

Almost surely, 2^{18444085116600} is an apocalyptic number.

18444085116600 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 18444085116600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35234904821760).

18444085116600 is an abundant number, since it is smaller than the sum of its proper divisors (52025724526920).

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

18444085116600 is a wasteful number, since it uses less digits than its factorization.

18444085116600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 18444085116600 in words is "eighteen trillion, four hundred forty-four billion, eighty-five million, one hundred sixteen thousand, six hundred".