9800111004768 has 1152 divisors, whose sum is σ = 34655144509440. Its totient is φ = 2567065374720.

The previous prime is 9800111004751. The next prime is 9800111004769. The reversal of 9800111004768 is 8674001110089.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9800111004769) 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, 23278173198 + ... + 23278173618.

It is an arithmetic number, because the mean of its divisors is an integer number (30082590720).

Almost surely, 2^{9800111004768} 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 9800111004768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17327572254720).

9800111004768 is an abundant number, since it is smaller than the sum of its proper divisors (24855033504672).

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

9800111004768 is a wasteful number, since it uses less digits than its factorization.

9800111004768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 9800111004768 in words is "nine trillion, eight hundred billion, one hundred eleven million, four thousand, seven hundred sixty-eight".