18468004104 has 256 divisors, whose sum is σ = 59142528000. Its totient is φ = 5280837120.

The previous prime is 18468004069. The next prime is 18468004109. The reversal of 18468004104 is 40140086481.

18468004104 is a `hidden beast` number, since 184 + 68 + 0 + 0 + 410 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (18468004109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14129419 + ... + 14130725.

It is an arithmetic number, because the mean of its divisors is an integer number (231025500).

Almost surely, 2^18468004104 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 18468004104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29571264000).

18468004104 is an abundant number, since it is smaller than the sum of its proper divisors (40674523896).

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

18468004104 is a wasteful number, since it uses less digits than its factorization.

18468004104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 18468004104 in words is "eighteen billion, four hundred sixty-eight million, four thousand, one hundred four".