8229809952 has 960 divisors, whose sum is σ = 32703035904. Its totient is φ = 1970749440.

The previous prime is 8229809927. The next prime is 8229809969. The reversal of 8229809952 is 2599089228.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 200727052 + ... + 200727092.

Almost surely, 2^8229809952 is an apocalyptic number.

8229809952 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8229809952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16351517952).

8229809952 is an abundant number, since it is smaller than the sum of its proper divisors (24473225952).

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

8229809952 is a wasteful number, since it uses less digits than its factorization.

8229809952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 8229809952 is about 90718.2999840716. The cubic root of 8229809952 is about 2018.9703238310.

The spelling of 8229809952 in words is "eight billion, two hundred twenty-nine million, eight hundred nine thousand, nine hundred fifty-two".