98349016896 has 336 divisors, whose sum is σ = 322398694800. Its totient is φ = 28396486656.

The previous prime is 98349016867. The next prime is 98349016903. The reversal of 98349016896 is 69861094389.

It is a happy number.

98349016896 is a `hidden beast` number, since 9 + 83 + 490 + 1 + 68 + 9 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3401222400 + 94947794496 = 58320^2 + 308136^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52063120 + ... + 52065008.

It is an arithmetic number, because the mean of its divisors is an integer number (959519925).

Almost surely, 2^98349016896 is an apocalyptic number.

98349016896 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 98349016896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161199347400).

98349016896 is an abundant number, since it is smaller than the sum of its proper divisors (224049677904).

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

98349016896 is a wasteful number, since it uses less digits than its factorization.

98349016896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 98349016896 in words is "ninety-eight billion, three hundred forty-nine million, sixteen thousand, eight hundred ninety-six".