199868663808 has 720 divisors, whose sum is σ = 693653360400. Its totient is φ = 56853135360.

The previous prime is 199868663803. The next prime is 199868663831. The reversal of 199868663808 is 808366868991.

It is a happy number.

199868663808 is a `hidden beast` number, since 1 + 99 + 86 + 86 + 6 + 380 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (199868663803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 527357763 + ... + 527358141.

It is an arithmetic number, because the mean of its divisors is an integer number (963407445).

Almost surely, 2^199868663808 is an apocalyptic number.

199868663808 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 199868663808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346826680200).

199868663808 is an abundant number, since it is smaller than the sum of its proper divisors (493784696592).

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

199868663808 is a wasteful number, since it uses less digits than its factorization.

199868663808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 72.

The spelling of 199868663808 in words is "one hundred ninety-nine billion, eight hundred sixty-eight million, six hundred sixty-three thousand, eight hundred eight".