198830938068 has 144 divisors (see below), whose sum is σ = 593164615680. Its totient is φ = 54954504000.

The previous prime is 198830938067. The next prime is 198830938087. The reversal of 198830938068 is 860839038891.

198830938068 is a `hidden beast` number, since 198 + 8 + 3 + 0 + 9 + 380 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 198830937996 and 198830938014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198830938067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39362143 + ... + 39367193.

It is an arithmetic number, because the mean of its divisors is an integer number (4119198720).

Almost surely, 2^198830938068 is an apocalyptic number.

198830938068 is a gapful number since it is divisible by the number (18) 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 198830938068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296582307840).

198830938068 is an abundant number, since it is smaller than the sum of its proper divisors (394333677612).

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

198830938068 is a wasteful number, since it uses less digits than its factorization.

198830938068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10138 (or 10133 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 198830938068 in words is "one hundred ninety-eight billion, eight hundred thirty million, nine hundred thirty-eight thousand, sixty-eight".