98382206304 has 144 divisors (see below), whose sum is σ = 288401637888. Its totient is φ = 31795888896.

The previous prime is 98382206297. The next prime is 98382206311. The reversal of 98382206304 is 40360228389.

98382206304 is a `hidden beast` number, since 9 + 8 + 3 + 8 + 2 + 2 + 0 + 630 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (98382206297) and next prime (98382206311).

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 98382206304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1414389 + ... + 1482315.

It is an arithmetic number, because the mean of its divisors is an integer number (2002789152).

Almost surely, 2^98382206304 is an apocalyptic number.

98382206304 is a gapful number since it is divisible by the number (94) 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 98382206304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144200818944).

98382206304 is an abundant number, since it is smaller than the sum of its proper divisors (190019431584).

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

98382206304 is a wasteful number, since it uses less digits than its factorization.

98382206304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68097 (or 68086 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 98382206304 in words is "ninety-eight billion, three hundred eighty-two million, two hundred six thousand, three hundred four".