18366400975104 has 2304 divisors, whose sum is σ = 72084848640000. Its totient is φ = 4576677396480.

The previous prime is 18366400975103. The next prime is 18366400975121. The reversal of 18366400975104 is 40157900466381.

18366400975104 is a `hidden beast` number, since 1 + 8 + 3 + 66 + 400 + 9 + 75 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is not an unprimeable number, because it can be changed into a prime (18366400975103) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 44905625652 + ... + 44905626060.

Almost surely, 2^{18366400975104} is an apocalyptic number.

18366400975104 is a gapful number since it is divisible by the number (14) 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 18366400975104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36042424320000).

18366400975104 is an abundant number, since it is smaller than the sum of its proper divisors (53718447664896).

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

18366400975104 is a wasteful number, since it uses less digits than its factorization.

18366400975104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 512 counting only the distinct ones).

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

The spelling of 18366400975104 in words is "eighteen trillion, three hundred sixty-six billion, four hundred million, nine hundred seventy-five thousand, one hundred four".