18104755816224 has 864 divisors, whose sum is σ = 68614598707200. Its totient is φ = 4642923317760.

The previous prime is 18104755816219. The next prime is 18104755816243. The reversal of 18104755816224 is 42261855740181.

18104755816224 is a `hidden beast` number, since 1 + 8 + 1 + 0 + 4 + 7 + 5 + 5 + 8 + 1 + 622 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 331082517 + ... + 331137195.

It is an arithmetic number, because the mean of its divisors is an integer number (79415044800).

Almost surely, 2^{18104755816224} is an apocalyptic number.

18104755816224 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 18104755816224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34307299353600).

18104755816224 is an abundant number, since it is smaller than the sum of its proper divisors (50509842890976).

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

18104755816224 is a wasteful number, since it uses less digits than its factorization.

18104755816224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54808 (or 54781 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 18104755816224 in words is "eighteen trillion, one hundred four billion, seven hundred fifty-five million, eight hundred sixteen thousand, two hundred twenty-four".