18381614904 has 256 divisors, whose sum is σ = 56430720000. Its totient is φ = 5518098432.

The previous prime is 18381614893. The next prime is 18381614917. The reversal of 18381614904 is 40941618381.

18381614904 is a `hidden beast` number, since 1 + 83 + 81 + 6 + 1 + 490 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 18381614904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18217152 + ... + 18218160.

It is an arithmetic number, because the mean of its divisors is an integer number (220432500).

Almost surely, 2^18381614904 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 18381614904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28215360000).

18381614904 is an abundant number, since it is smaller than the sum of its proper divisors (38049105096).

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

18381614904 is a wasteful number, since it uses less digits than its factorization.

18381614904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1249 counting only the distinct ones).

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

The spelling of 18381614904 in words is "eighteen billion, three hundred eighty-one million, six hundred fourteen thousand, nine hundred four".