199932297216 has 120 divisors (see below), whose sum is σ = 540449461104. Its totient is φ = 65729986560.

The previous prime is 199932297209. The next prime is 199932297241. The reversal of 199932297216 is 612792239991.

It is a super-2 number, since 2×199932297216² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 199932297216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3560236 + ... + 3615956.

Almost surely, 2^199932297216 is an apocalyptic number.

199932297216 is a gapful number since it is divisible by the number (16) 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 199932297216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270224730552).

199932297216 is an abundant number, since it is smaller than the sum of its proper divisors (340517163888).

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

199932297216 is an frugal number, since it uses more digits than its factorization.

199932297216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55825 (or 55799 counting only the distinct ones).

The product of its digits is 6613488, while the sum is 60.

The spelling of 199932297216 in words is "one hundred ninety-nine billion, nine hundred thirty-two million, two hundred ninety-seven thousand, two hundred sixteen".