8381659104 has 432 divisors, whose sum is σ = 29989788192. Its totient is φ = 2173796352.

The previous prime is 8381659087. The next prime is 8381659147. The reversal of 8381659104 is 4019561838.

It is a self number, because there is not a number n which added to its sum of digits gives 8381659104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24871224 + ... + 24871560.

It is an arithmetic number, because the mean of its divisors is an integer number (69420806).

Almost surely, 2^8381659104 is an apocalyptic number.

8381659104 is a gapful number since it is divisible by the number (84) 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 8381659104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14994894096).

8381659104 is an abundant number, since it is smaller than the sum of its proper divisors (21608129088).

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

8381659104 is a wasteful number, since it uses less digits than its factorization.

8381659104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 8381659104 is about 91551.4014311086. The cubic root of 8381659104 is about 2031.3121418855.

The spelling of 8381659104 in words is "eight billion, three hundred eighty-one million, six hundred fifty-nine thousand, one hundred four".