9998456000 has 224 divisors, whose sum is σ = 26911352832. Its totient is φ = 3657830400.

The previous prime is 9998455931. The next prime is 9998456053. The reversal of 9998456000 is 6548999.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 9998456000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13207622 + ... + 13208378.

It is an arithmetic number, because the mean of its divisors is an integer number (120139968).

Almost surely, 2^9998456000 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 9998456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13455676416).

9998456000 is an abundant number, since it is smaller than the sum of its proper divisors (16912896832).

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

9998456000 is a wasteful number, since it uses less digits than its factorization.

9998456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 50.

The square root of 9998456000 is about 99992.2797019850. The cubic root of 9998456000 is about 2154.3238027526.

The spelling of 9998456000 in words is "nine billion, nine hundred ninety-eight million, four hundred fifty-six thousand".