199894833216 has 189 divisors, whose sum is σ = 620860050759. Its totient is φ = 61463181312.

The previous prime is 199894833209. The next prime is 199894833221. The reversal of 199894833216 is 612338498991.

The square root of 199894833216 is 447096.

It is a perfect power (a square), and thus also a powerful number.

199894833216 is a `hidden beast` number, since 199 + 89 + 48 + 3 + 321 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 193098816 + 199701734400 = 13896^2 + 446880^2 .

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 26 ways as a sum of consecutive naturals, for example, 139493236 + ... + 139494668.

Almost surely, 2^199894833216 is an apocalyptic number.

199894833216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

199894833216 is the 447096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199894833216

199894833216 is an abundant number, since it is smaller than the sum of its proper divisors (420965217543).

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

199894833216 is an equidigital number, since it uses as much as digits as its factorization.

199894833216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2910 (or 1451 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 63.

The spelling of 199894833216 in words is "one hundred ninety-nine billion, eight hundred ninety-four million, eight hundred thirty-three thousand, two hundred sixteen".