8909508384 has 192 divisors, whose sum is σ = 29750918400. Its totient is φ = 2541072384.

The previous prime is 8909508341. The next prime is 8909508389. The reversal of 8909508384 is 4838059098.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8909508384.

It is not an unprimeable number, because it can be changed into a prime (8909508389) 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, 5012904 + ... + 5014680.

It is an arithmetic number, because the mean of its divisors is an integer number (154952700).

Almost surely, 2^8909508384 is an apocalyptic number.

8909508384 is a gapful number since it is divisible by the number (84) 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 8909508384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14875459200).

8909508384 is an abundant number, since it is smaller than the sum of its proper divisors (20841410016).

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

8909508384 is a wasteful number, since it uses less digits than its factorization.

8909508384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632 (or 2618 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 8909508384 is about 94390.1922023681. The cubic root of 8909508384 is about 2073.0888395184.

The spelling of 8909508384 in words is "eight billion, nine hundred nine million, five hundred eight thousand, three hundred eighty-four".