199668964608 has 216 divisors, whose sum is σ = 590653469952. Its totient is φ = 64849158144.

The previous prime is 199668964591. The next prime is 199668964609. The reversal of 199668964608 is 806469866991.

199668964608 is a `hidden beast` number, since 1 + 9 + 9 + 6 + 6 + 8 + 9 + 6 + 4 + 608 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199668964609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13952785 + ... + 13967087.

Almost surely, 2^199668964608 is an apocalyptic number.

199668964608 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 199668964608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295326734976).

199668964608 is an abundant number, since it is smaller than the sum of its proper divisors (390984505344).

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

199668964608 is a wasteful number, since it uses less digits than its factorization.

199668964608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14481 (or 14464 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

The spelling of 199668964608 in words is "one hundred ninety-nine billion, six hundred sixty-eight million, nine hundred sixty-four thousand, six hundred eight".