18149981184000 has 2688 divisors, whose sum is σ = 74176721409024. Its totient is φ = 4246732800000.

The previous prime is 18149981183993. The next prime is 18149981184053. The reversal of 18149981184000 is 48118994181.

18149981184000 is a `hidden beast` number, since 1 + 8 + 149 + 9 + 81 + 18 + 400 + 0 = 666.

It is a super-3 number, since 3×18149981184000³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 179702783950 + ... + 179702784050.

Almost surely, 2^{18149981184000} is an apocalyptic number.

18149981184000 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 18149981184000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37088360704512).

18149981184000 is an abundant number, since it is smaller than the sum of its proper divisors (56026740225024).

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

18149981184000 is a wasteful number, since it uses less digits than its factorization.

18149981184000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 54.

The spelling of 18149981184000 in words is "eighteen trillion, one hundred forty-nine billion, nine hundred eighty-one million, one hundred eighty-four thousand".