18213001413984 has 576 divisors, whose sum is σ = 60162597331200. Its totient is φ = 5207346413568.

The previous prime is 18213001413979. The next prime is 18213001414073. The reversal of 18213001413984 is 48931410031281.

18213001413984 is a `hidden beast` number, since 1 + 8 + 213 + 0 + 0 + 1 + 41 + 398 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 849753732 + ... + 849775164.

It is an arithmetic number, because the mean of its divisors is an integer number (104448953700).

Almost surely, 2^{18213001413984} 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 18213001413984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30081298665600).

18213001413984 is an abundant number, since it is smaller than the sum of its proper divisors (41949595917216).

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

18213001413984 is a wasteful number, since it uses less digits than its factorization.

18213001413984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21584 (or 21547 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 18213001413984 in words is "eighteen trillion, two hundred thirteen billion, one million, four hundred thirteen thousand, nine hundred eighty-four".