98917169120 has 192 divisors, whose sum is σ = 291583950336. Its totient is φ = 30807214080.

The previous prime is 98917169101. The next prime is 98917169123. The reversal of 98917169120 is 2196171989.

98917169120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 314511²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98917169123) 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, 22013594 + ... + 22018086.

It is an arithmetic number, because the mean of its divisors is an integer number (1518666408).

Almost surely, 2^98917169120 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 98917169120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145791975168).

98917169120 is an abundant number, since it is smaller than the sum of its proper divisors (192666781216).

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

98917169120 is a wasteful number, since it uses less digits than its factorization.

98917169120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6313 (or 6305 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 53.

The spelling of 98917169120 in words is "ninety-eight billion, nine hundred seventeen million, one hundred sixty-nine thousand, one hundred twenty".