98343081600 has 384 divisors, whose sum is σ = 329163694080. Its totient is φ = 25803878400.

The previous prime is 98343081593. The next prime is 98343081623. The reversal of 98343081600 is 618034389.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×98343081600³ (a number of 34 digits) contains 333 as substring.

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, 267964617 + ... + 267964983.

It is an arithmetic number, because the mean of its divisors is an integer number (857197120).

Almost surely, 2^98343081600 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 98343081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164581847040).

98343081600 is an abundant number, since it is smaller than the sum of its proper divisors (230820612480).

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

98343081600 is a wasteful number, since it uses less digits than its factorization.

98343081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 98343081600 in words is "ninety-eight billion, three hundred forty-three million, eighty-one thousand, six hundred".