98109513216 has 480 divisors, whose sum is σ = 335000746080. Its totient is φ = 27412070400.

The previous prime is 98109513199. The next prime is 98109513251. The reversal of 98109513216 is 61231590189.

98109513216 is a `hidden beast` number, since 9 + 8 + 109 + 513 + 21 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 111361096 + ... + 111361976.

It is an arithmetic number, because the mean of its divisors is an integer number (697918221).

Almost surely, 2^98109513216 is an apocalyptic number.

98109513216 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 98109513216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167500373040).

98109513216 is an abundant number, since it is smaller than the sum of its proper divisors (236891232864).

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

98109513216 is a wasteful number, since it uses less digits than its factorization.

98109513216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 98109513216 in words is "ninety-eight billion, one hundred nine million, five hundred thirteen thousand, two hundred sixteen".