18385367904 has 192 divisors, whose sum is σ = 56060928000. Its totient is φ = 5855016960.

The previous prime is 18385367899. The next prime is 18385367911. The reversal of 18385367904 is 40976358381.

18385367904 is a `hidden beast` number, since 1 + 8 + 38 + 536 + 79 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2111592 + ... + 2120280.

It is an arithmetic number, because the mean of its divisors is an integer number (291984000).

Almost surely, 2^18385367904 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 18385367904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28030464000).

18385367904 is an abundant number, since it is smaller than the sum of its proper divisors (37675560096).

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

18385367904 is a wasteful number, since it uses less digits than its factorization.

18385367904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8818 (or 8804 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 18385367904 in words is "eighteen billion, three hundred eighty-five million, three hundred sixty-seven thousand, nine hundred four".