198304850666208 has 288 divisors, whose sum is σ = 616008238392960. Its totient is φ = 55371334686720.

The previous prime is 198304850666201. The next prime is 198304850666227. The reversal of 198304850666208 is 802666058403891.

It is a super-2 number, since 2×198304850666208² (a number of 29 digits) contains 22 as substring.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198304850666201) 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, 99488398 + ... + 101462066.

It is an arithmetic number, because the mean of its divisors is an integer number (2138917494420).

Almost surely, 2^{198304850666208} 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 198304850666208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308004119196480).

198304850666208 is an abundant number, since it is smaller than the sum of its proper divisors (417703387726752).

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

198304850666208 is a wasteful number, since it uses less digits than its factorization.

198304850666208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1974282 (or 1974261 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 66.

The spelling of 198304850666208 in words is "one hundred ninety-eight trillion, three hundred four billion, eight hundred fifty million, six hundred sixty-six thousand, two hundred eight".