199364112 has 160 divisors (see below), whose sum is σ = 610675200. Its totient is φ = 62093952.

The previous prime is 199364101. The next prime is 199364119. The reversal of 199364112 is 211463991.

It is a happy number.

199364112 is a `hidden beast` number, since 1 + 9 + 9 + 3 + 641 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (199364119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 878143 + ... + 878369.

It is an arithmetic number, because the mean of its divisors is an integer number (3816720).

Almost surely, 2^199364112 is an apocalyptic number.

199364112 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 199364112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305337600).

199364112 is an abundant number, since it is smaller than the sum of its proper divisors (411311088).

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

199364112 is a wasteful number, since it uses less digits than its factorization.

199364112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 358 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 199364112 is about 14119.6356893512. The cubic root of 199364112 is about 584.1831070288.

The spelling of 199364112 in words is "one hundred ninety-nine million, three hundred sixty-four thousand, one hundred twelve".