18104281985832 has 640 divisors, whose sum is σ = 56446540761600. Its totient is φ = 4831044954624.

The previous prime is 18104281985821. The next prime is 18104281985849. The reversal of 18104281985832 is 23858918240181.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5409105583 + ... + 5409108929.

It is an arithmetic number, because the mean of its divisors is an integer number (88197719940).

Almost surely, 2^{18104281985832} is an apocalyptic number.

18104281985832 is a gapful number since it is divisible by the number (12) 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 18104281985832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28223270380800).

18104281985832 is an abundant number, since it is smaller than the sum of its proper divisors (38342258775768).

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

18104281985832 is a wasteful number, since it uses less digits than its factorization.

18104281985832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3523 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 60.

The spelling of 18104281985832 in words is "eighteen trillion, one hundred four billion, two hundred eighty-one million, nine hundred eighty-five thousand, eight hundred thirty-two".