9998493120 has 1344 divisors, whose sum is σ = 47534169600. Its totient is φ = 1950842880.

The previous prime is 9998493077. The next prime is 9998493121. The reversal of 9998493120 is 213948999.

9998493120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9998493121) 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 191 ways as a sum of consecutive naturals, for example, 88482184 + ... + 88482296.

Almost surely, 2^9998493120 is an apocalyptic number.

9998493120 is a gapful number since it is divisible by the number (90) 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 9998493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23767084800).

9998493120 is an abundant number, since it is smaller than the sum of its proper divisors (37535676480).

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

9998493120 is a wasteful number, since it uses less digits than its factorization.

9998493120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The square root of 9998493120 is about 99992.4653161427. The cubic root of 9998493120 is about 2154.3264687776.

The spelling of 9998493120 in words is "nine billion, nine hundred ninety-eight million, four hundred ninety-three thousand, one hundred twenty".