18004456154880 has 1728 divisors, whose sum is σ = 73760660467200. Its totient is φ = 4196513857536.

The previous prime is 18004456154869. The next prime is 18004456154897. The reversal of 18004456154880 is 8845165440081.

18004456154880 is a `hidden beast` number, since 1 + 8 + 0 + 0 + 44 + 56 + 1 + 548 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8988743959 + ... + 8988745961.

It is an arithmetic number, because the mean of its divisors is an integer number (42685567400).

Almost surely, 2^{18004456154880} is an apocalyptic number.

18004456154880 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 18004456154880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36880330233600).

18004456154880 is an abundant number, since it is smaller than the sum of its proper divisors (55756204312320).

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

18004456154880 is an equidigital number, since it uses as much as digits as its factorization.

18004456154880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 18004456154880 in words is "eighteen trillion, four billion, four hundred fifty-six million, one hundred fifty-four thousand, eight hundred eighty".