18089381786112 has 2880 divisors, whose sum is σ = 72670400225280. Its totient is φ = 4220063318016.

The previous prime is 18089381786033. The next prime is 18089381786123. The reversal of 18089381786112 is 21168718398081.

18089381786112 is a `hidden beast` number, since 1 + 8 + 0 + 8 + 9 + 3 + 8 + 1 + 7 + 8 + 611 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 18089381786112.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 142436076993 + ... + 142436077119.

It is an arithmetic number, because the mean of its divisors is an integer number (25232777856).

Almost surely, 2^{18089381786112} is an apocalyptic number.

18089381786112 is a gapful number since it is divisible by the number (12) 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 18089381786112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36335200112640).

18089381786112 is an abundant number, since it is smaller than the sum of its proper divisors (54581018439168).

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

18089381786112 is a wasteful number, since it uses less digits than its factorization.

18089381786112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 63.

The spelling of 18089381786112 in words is "eighteen trillion, eighty-nine billion, three hundred eighty-one million, seven hundred eighty-six thousand, one hundred twelve".