199316541168 has 480 divisors, whose sum is σ = 615046348800. Its totient is φ = 60051124224.

The previous prime is 199316541163. The next prime is 199316541181. The reversal of 199316541168 is 861145613991.

199316541168 is a `hidden beast` number, since 1 + 9 + 9 + 3 + 165 + 411 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199316541163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1454865196 + ... + 1454865332.

It is an arithmetic number, because the mean of its divisors is an integer number (1281346560).

Almost surely, 2^199316541168 is an apocalyptic number.

199316541168 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 199316541168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307523174400).

199316541168 is an abundant number, since it is smaller than the sum of its proper divisors (415729807632).

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

199316541168 is a wasteful number, since it uses less digits than its factorization.

199316541168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 420 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 54.

The spelling of 199316541168 in words is "one hundred ninety-nine billion, three hundred sixteen million, five hundred forty-one thousand, one hundred sixty-eight".