8609193216 has 360 divisors, whose sum is σ = 27994603560. Its totient is φ = 2615721984.

The previous prime is 8609193167. The next prime is 8609193233. The reversal of 8609193216 is 6123919068.

It is a happy number.

8609193216 is a `hidden beast` number, since 8 + 609 + 1 + 9 + 32 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2540160000 + 6069033216 = 50400^2 + 77904^2 .

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 39 ways as a sum of consecutive naturals, for example, 29382766 + ... + 29383058.

Almost surely, 2^8609193216 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 8609193216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13997301780).

8609193216 is an abundant number, since it is smaller than the sum of its proper divisors (19385410344).

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

8609193216 is a wasteful number, since it uses less digits than its factorization.

8609193216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 8609193216 is about 92785.7382144476. The cubic root of 8609193216 is about 2049.5293955243.

The spelling of 8609193216 in words is "eight billion, six hundred nine million, one hundred ninety-three thousand, two hundred sixteen".