98330329902336 has 288 divisors, whose sum is σ = 299966153195520. Its totient is φ = 28011948859392.

The previous prime is 98330329902293. The next prime is 98330329902341. The reversal of 98330329902336 is 63320992303389.

It is a super-2 number, since 2×98330329902336² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 98330329902336.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8769309466 + ... + 8769320678.

It is an arithmetic number, because the mean of its divisors is an integer number (1041549143040).

Almost surely, 2^{98330329902336} is an apocalyptic number.

98330329902336 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 98330329902336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149983076597760).

98330329902336 is an abundant number, since it is smaller than the sum of its proper divisors (201635823293184).

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

98330329902336 is a wasteful number, since it uses less digits than its factorization.

98330329902336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15881 (or 15867 counting only the distinct ones).

The product of its (nonzero) digits is 34012224, while the sum is 60.

The spelling of 98330329902336 in words is "ninety-eight trillion, three hundred thirty billion, three hundred twenty-nine million, nine hundred two thousand, three hundred thirty-six".