9901696168 has 192 divisors, whose sum is σ = 24125487120. Its totient is φ = 3773952000.

The previous prime is 9901696093. The next prime is 9901696169. The reversal of 9901696168 is 8616961099.

9901696168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3062736964 + 6838959204 = 55342^2 + 82698^2 .

It is not an unprimeable number, because it can be changed into a prime (9901696169) 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 47 ways as a sum of consecutive naturals, for example, 16475068 + ... + 16475668.

Almost surely, 2^9901696168 is an apocalyptic number.

9901696168 is a gapful number since it is divisible by the number (98) 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 9901696168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12062743560).

9901696168 is an abundant number, since it is smaller than the sum of its proper divisors (14223790952).

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

9901696168 is a wasteful number, since it uses less digits than its factorization.

9901696168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 55.

The square root of 9901696168 is about 99507.2669105126. The cubic root of 9901696168 is about 2147.3517903464.

The spelling of 9901696168 in words is "nine billion, nine hundred one million, six hundred ninety-six thousand, one hundred sixty-eight".