98416168320 has 256 divisors, whose sum is σ = 327800908800. Its totient is φ = 25067986944.

The previous prime is 98416168271. The next prime is 98416168339. The reversal of 98416168320 is 2386161489.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 98416168320.

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 31 ways as a sum of consecutive naturals, for example, 48265861 + ... + 48267899.

It is an arithmetic number, because the mean of its divisors is an integer number (1280472300).

Almost surely, 2^98416168320 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 98416168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163900454400).

98416168320 is an abundant number, since it is smaller than the sum of its proper divisors (229384740480).

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

98416168320 is a wasteful number, since it uses less digits than its factorization.

98416168320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3177 (or 3165 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 98416168320 in words is "ninety-eight billion, four hundred sixteen million, one hundred sixty-eight thousand, three hundred twenty".