98963404323168 has 768 divisors, whose sum is σ = 331844644454400. Its totient is φ = 25082803200000.

The previous prime is 98963404323073. The next prime is 98963404323191. The reversal of 98963404323168 is 86132340436989.

98963404323168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 98963404323099 and 98963404323108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14572725853 + ... + 14572732643.

It is an arithmetic number, because the mean of its divisors is an integer number (432089380800).

Almost surely, 2^{98963404323168} 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 98963404323168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165922322227200).

98963404323168 is an abundant number, since it is smaller than the sum of its proper divisors (232881240131232).

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

98963404323168 is a wasteful number, since it uses less digits than its factorization.

98963404323168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7203 (or 7195 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 66.

The spelling of 98963404323168 in words is "ninety-eight trillion, nine hundred sixty-three billion, four hundred four million, three hundred twenty-three thousand, one hundred sixty-eight".