9998717747616 has 1152 divisors, whose sum is σ = 34027430621184. Its totient is φ = 2759560151040.

The previous prime is 9998717747587. The next prime is 9998717747729. The reversal of 9998717747616 is 6167477178999.

9998717747616 is a `hidden beast` number, since 9 + 9 + 9 + 8 + 71 + 77 + 476 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10171635061 + ... + 10171636043.

It is an arithmetic number, because the mean of its divisors is an integer number (29537700192).

Almost surely, 2^{9998717747616} is an apocalyptic number.

9998717747616 is a gapful number since it is divisible by the number (96) 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 9998717747616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17013715310592).

9998717747616 is an abundant number, since it is smaller than the sum of its proper divisors (24028712873568).

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

9998717747616 is a wasteful number, since it uses less digits than its factorization.

9998717747616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1175 counting only the distinct ones).

The product of its digits is 2016379008, while the sum is 81.

The spelling of 9998717747616 in words is "nine trillion, nine hundred ninety-eight billion, seven hundred seventeen million, seven hundred forty-seven thousand, six hundred sixteen".