18661104000 has 1920 divisors, whose sum is σ = 92185853760. Its totient is φ = 3649536000.

The previous prime is 18661103977. The next prime is 18661104043. The reversal of 18661104000 is 40116681.

18661104000 is a `hidden beast` number, since 1 + 8 + 6 + 611 + 0 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 1097711992 + ... + 1097712008.

Almost surely, 2^18661104000 is an apocalyptic number.

18661104000 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 18661104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46092926880).

18661104000 is an abundant number, since it is smaller than the sum of its proper divisors (73524749760).

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

18661104000 is a wasteful number, since it uses less digits than its factorization.

18661104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 18661104000 in words is "eighteen billion, six hundred sixty-one million, one hundred four thousand".