199866348864 has 336 divisors, whose sum is σ = 708205563520. Its totient is φ = 52478668800.

The previous prime is 199866348859. The next prime is 199866348889. The reversal of 199866348864 is 468843668991.

199866348864 is a `hidden beast` number, since 1 + 9 + 9 + 86 + 6 + 3 + 488 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 199866348792 and 199866348801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11994939 + ... + 12011589.

Almost surely, 2^199866348864 is an apocalyptic number.

199866348864 is a gapful number since it is divisible by the number (14) 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 199866348864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354102781760).

199866348864 is an abundant number, since it is smaller than the sum of its proper divisors (508339214656).

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

199866348864 is a wasteful number, since it uses less digits than its factorization.

199866348864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16918 (or 16905 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 72.

The spelling of 199866348864 in words is "one hundred ninety-nine billion, eight hundred sixty-six million, three hundred forty-eight thousand, eight hundred sixty-four".