199319616 has 70 divisors (see below), whose sum is σ = 590861150. Its totient is φ = 66438144.

The previous prime is 199319597. The next prime is 199319623. The reversal of 199319616 is 616913991.

199319616 is a `hidden beast` number, since 19 + 9 + 3 + 19 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 108993600 + 90326016 = 10440^2 + 9504^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14041 + ... + 24408.

Almost surely, 2^199319616 is an apocalyptic number.

199319616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

199319616 is an abundant number, since it is smaller than the sum of its proper divisors (391541534).

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

199319616 is an equidigital number, since it uses as much as digits as its factorization.

199319616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38473 (or 38454 counting only the distinct ones).

The product of its digits is 78732, while the sum is 45.

The square root of 199319616 is about 14118.0599233747. The cubic root of 199319616 is about 584.1396425936.

It can be divided in two parts, 1993 and 19616, that added together give a square (21609 = 147²).

The spelling of 199319616 in words is "one hundred ninety-nine million, three hundred nineteen thousand, six hundred sixteen".