9901248192 has 280 divisors, whose sum is σ = 32172597072. Its totient is φ = 2985984000.

The previous prime is 9901248167. The next prime is 9901248199. The reversal of 9901248192 is 2918421099.

It is not an unprimeable number, because it can be changed into a prime (9901248199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22866408 + ... + 22866840.

Almost surely, 2^9901248192 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 9901248192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16086298536).

9901248192 is an abundant number, since it is smaller than the sum of its proper divisors (22271348880).

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

9901248192 is a wasteful number, since it uses less digits than its factorization.

9901248192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 9901248192 is about 99505.0159137719. The cubic root of 9901248192 is about 2147.3194061112.

The spelling of 9901248192 in words is "nine billion, nine hundred one million, two hundred forty-eight thousand, one hundred ninety-two".