8339645952 has 400 divisors, whose sum is σ = 27574891344. Its totient is φ = 2488320000.

The previous prime is 8339645903. The next prime is 8339645957. The reversal of 8339645952 is 2595469338.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8339645957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46075302 + ... + 46075482.

Almost surely, 2^8339645952 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 8339645952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13787445672).

8339645952 is an abundant number, since it is smaller than the sum of its proper divisors (19235245392).

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

8339645952 is a wasteful number, since it uses less digits than its factorization.

8339645952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 298 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

The square root of 8339645952 is about 91321.6620085290. The cubic root of 8339645952 is about 2027.9124642725.

The spelling of 8339645952 in words is "eight billion, three hundred thirty-nine million, six hundred forty-five thousand, nine hundred fifty-two".