9908969952 has 192 divisors, whose sum is σ = 30928601088. Its totient is φ = 2718144000.

The previous prime is 9908969899. The next prime is 9908969957. The reversal of 9908969952 is 2599698099.

9908969952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9908969957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2727177 + ... + 2730807.

It is an arithmetic number, because the mean of its divisors is an integer number (161086464).

Almost surely, 2^9908969952 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 9908969952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15464300544).

9908969952 is an abundant number, since it is smaller than the sum of its proper divisors (21019631136).

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

9908969952 is a wasteful number, since it uses less digits than its factorization.

9908969952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3813 (or 3805 counting only the distinct ones).

The product of its (nonzero) digits is 28343520, while the sum is 66.

The square root of 9908969952 is about 99543.8092098148. The cubic root of 9908969952 is about 2147.8774763746.

The spelling of 9908969952 in words is "nine billion, nine hundred eight million, nine hundred sixty-nine thousand, nine hundred fifty-two".