9998664192 has 320 divisors, whose sum is σ = 32997888000. Its totient is φ = 2963312640.

The previous prime is 9998664191. The next prime is 9998664209. The reversal of 9998664192 is 2914668999.

It is a super-3 number, since 3×9998664192³ (a number of 31 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (9998664191) 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, 7146309 + ... + 7147707.

It is an arithmetic number, because the mean of its divisors is an integer number (103118400).

Almost surely, 2^9998664192 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 9998664192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16498944000).

9998664192 is an abundant number, since it is smaller than the sum of its proper divisors (22999223808).

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

9998664192 is a wasteful number, since it uses less digits than its factorization.

9998664192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1462 counting only the distinct ones).

The product of its digits is 15116544, while the sum is 63.

The square root of 9998664192 is about 99993.3207369372. The cubic root of 9998664192 is about 2154.3387553903.

The spelling of 9998664192 in words is "nine billion, nine hundred ninety-eight million, six hundred sixty-four thousand, one hundred ninety-two".