199105353244512 has 288 divisors, whose sum is σ = 665394123322656. Its totient is φ = 55676956262400.

The previous prime is 199105353244481. The next prime is 199105353244513. The reversal of 199105353244512 is 215442353501991.

199105353244512 is a `hidden beast` number, since 1 + 9 + 9 + 1 + 0 + 53 + 5 + 32 + 44 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199105353244513) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135712962 + ... + 137172222.

It is an arithmetic number, because the mean of its divisors is an integer number (2310396261537).

Almost surely, 2^{199105353244512} is an apocalyptic number.

199105353244512 is a gapful number since it is divisible by the number (12) 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 199105353244512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332697061661328).

199105353244512 is an abundant number, since it is smaller than the sum of its proper divisors (466288770078144).

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

199105353244512 is a wasteful number, since it uses less digits than its factorization.

199105353244512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462614 (or 1462603 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 199105353244512 in words is "one hundred ninety-nine trillion, one hundred five billion, three hundred fifty-three million, two hundred forty-four thousand, five hundred twelve".