8208834816 has 288 divisors, whose sum is σ = 27274481920. Its totient is φ = 2133983232.

The previous prime is 8208834797. The next prime is 8208834817. The reversal of 8208834816 is 6184388028.

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

It is not an unprimeable number, because it can be changed into a prime (8208834817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5101020 + ... + 5102628.

Almost surely, 2^8208834816 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 8208834816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13637240960).

8208834816 is an abundant number, since it is smaller than the sum of its proper divisors (19065647104).

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

8208834816 is a wasteful number, since it uses less digits than its factorization.

8208834816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1721 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The square root of 8208834816 is about 90602.6203594576. The cubic root of 8208834816 is about 2017.2536294525.

The spelling of 8208834816 in words is "eight billion, two hundred eight million, eight hundred thirty-four thousand, eight hundred sixteen".