199864694568 has 256 divisors, whose sum is σ = 640991232000. Its totient is φ = 50421196800.

The previous prime is 199864694539. The next prime is 199864694573. The reversal of 199864694568 is 865496468991.

199864694568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×199864694568² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 199864694568.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17345113 + ... + 17356631.

It is an arithmetic number, because the mean of its divisors is an integer number (2503872000).

Almost surely, 2^199864694568 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 199864694568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320495616000).

199864694568 is an abundant number, since it is smaller than the sum of its proper divisors (441126537432).

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

199864694568 is a wasteful number, since it uses less digits than its factorization.

199864694568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11816 (or 11812 counting only the distinct ones).

The product of its digits is 806215680, while the sum is 75.

The spelling of 199864694568 in words is "one hundred ninety-nine billion, eight hundred sixty-four million, six hundred ninety-four thousand, five hundred sixty-eight".