8609815344 has 240 divisors, whose sum is σ = 25988357472. Its totient is φ = 2439548928.

The previous prime is 8609815337. The next prime is 8609815373. The reversal of 8609815344 is 4435189068.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 8609815293 and 8609815302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8334252 + ... + 8335284.

Almost surely, 2^8609815344 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 8609815344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12994178736).

8609815344 is an abundant number, since it is smaller than the sum of its proper divisors (17378542128).

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

8609815344 is a wasteful number, since it uses less digits than its factorization.

8609815344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 8609815344 is about 92789.0906518649. The cubic root of 8609815344 is about 2049.5787628645.

The spelling of 8609815344 in words is "eight billion, six hundred nine million, eight hundred fifteen thousand, three hundred forty-four".