18542480891904 has 1008 divisors, whose sum is σ = 59668373838528. Its totient is φ = 5752454381568.

The previous prime is 18542480891789. The next prime is 18542480891941. The reversal of 18542480891904 is 40919808424581.

18542480891904 is a `hidden beast` number, since 1 + 8 + 542 + 4 + 8 + 0 + 89 + 1 + 9 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 96075030432 + ... + 96075030624.

It is an arithmetic number, because the mean of its divisors is an integer number (59194815316).

Almost surely, 2^{18542480891904} 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 18542480891904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29834186919264).

18542480891904 is an abundant number, since it is smaller than the sum of its proper divisors (41125892946624).

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

18542480891904 is an equidigital number, since it uses as much as digits as its factorization.

18542480891904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 18542480891904 in words is "eighteen trillion, five hundred forty-two billion, four hundred eighty million, eight hundred ninety-one thousand, nine hundred four".