8685444096 has 528 divisors, whose sum is σ = 30574123008. Its totient is φ = 2322432000.

The previous prime is 8685444083. The next prime is 8685444107. The reversal of 8685444096 is 6904445868.

8685444096 is a `hidden beast` number, since 8 + 6 + 8 + 544 + 4 + 0 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85994446 + ... + 85994546.

It is an arithmetic number, because the mean of its divisors is an integer number (57905536).

Almost surely, 2^8685444096 is an apocalyptic number.

8685444096 is a gapful number since it is divisible by the number (86) 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 8685444096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15287061504).

8685444096 is an abundant number, since it is smaller than the sum of its proper divisors (21888678912).

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

8685444096 is a wasteful number, since it uses less digits than its factorization.

8685444096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The square root of 8685444096 is about 93195.7300309408. The cubic root of 8685444096 is about 2055.5624538885.

The spelling of 8685444096 in words is "eight billion, six hundred eighty-five million, four hundred forty-four thousand, ninety-six".