8329645152 has 96 divisors (see below), whose sum is σ = 24323090400. Its totient is φ = 2773315584.

The previous prime is 8329645133. The next prime is 8329645153. The reversal of 8329645152 is 2515469238.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 8329645098 and 8329645107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8329645153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 804424 + ... + 814712.

It is an arithmetic number, because the mean of its divisors is an integer number (253365525).

Almost surely, 2^8329645152 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 8329645152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12161545200).

8329645152 is an abundant number, since it is smaller than the sum of its proper divisors (15993445248).

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

8329645152 is a wasteful number, since it uses less digits than its factorization.

8329645152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11245 (or 11231 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 8329645152 is about 91266.8896807599. The cubic root of 8329645152 is about 2027.1015242038.

The spelling of 8329645152 in words is "eight billion, three hundred twenty-nine million, six hundred forty-five thousand, one hundred fifty-two".