8104338144 has 768 divisors, whose sum is σ = 30481920000. Its totient is φ = 2086318080.

The previous prime is 8104338133. The next prime is 8104338181. The reversal of 8104338144 is 4418334018.

8104338144 is a `hidden beast` number, since 81 + 0 + 433 + 8 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8104338099 and 8104338108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 197666764 + ... + 197666804.

It is an arithmetic number, because the mean of its divisors is an integer number (39690000).

Almost surely, 2^8104338144 is an apocalyptic number.

8104338144 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 8104338144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960000).

8104338144 is an abundant number, since it is smaller than the sum of its proper divisors (22377581856).

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

8104338144 is a wasteful number, since it uses less digits than its factorization.

8104338144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8104338144 is about 90024.0975739274. The cubic root of 8104338144 is about 2008.6573166956.

The spelling of 8104338144 in words is "eight billion, one hundred four million, three hundred thirty-eight thousand, one hundred forty-four".