8509833216 has 120 divisors (see below), whose sum is σ = 25214861840. Its totient is φ = 2836463616.

The previous prime is 8509833203. The next prime is 8509833217. The reversal of 8509833216 is 6123389058.

It is a happy number.

It is a super-2 number, since 2×8509833216² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8509833217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 432750 + ... + 451986.

Almost surely, 2^8509833216 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 8509833216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12607430920).

8509833216 is an abundant number, since it is smaller than the sum of its proper divisors (16705028624).

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

8509833216 is an equidigital number, since it uses as much as digits as its factorization.

8509833216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19274 (or 19242 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 8509833216 is about 92248.7572599219. The cubic root of 8509833216 is about 2041.6142240798.

The spelling of 8509833216 in words is "eight billion, five hundred nine million, eight hundred thirty-three thousand, two hundred sixteen".