9965152008 has 384 divisors, whose sum is σ = 33484389120. Its totient is φ = 2717245440.

The previous prime is 9965152007. The next prime is 9965152009. The reversal of 9965152008 is 8002515699.

It is an interprime number because it is at equal distance from previous prime (9965152007) and next prime (9965152009).

It is not an unprimeable number, because it can be changed into a prime (9965152007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29570016 + ... + 29570352.

It is an arithmetic number, because the mean of its divisors is an integer number (87198930).

Almost surely, 2^9965152008 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 9965152008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16742194560).

9965152008 is an abundant number, since it is smaller than the sum of its proper divisors (23519237112).

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

9965152008 is a wasteful number, since it uses less digits than its factorization.

9965152008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 9965152008 is about 99825.6079771118. The cubic root of 9965152008 is about 2151.9291866206.

The spelling of 9965152008 in words is "nine billion, nine hundred sixty-five million, one hundred fifty-two thousand, eight".