199090870416 has 225 divisors, whose sum is σ = 593897470179. Its totient is φ = 62260405056.

The previous prime is 199090870403. The next prime is 199090870417. The reversal of 199090870416 is 614078090991.

The square root of 199090870416 is 446196.

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

199090870416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (199090870417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1932921021 + ... + 1932921123.

Almost surely, 2^199090870416 is an apocalyptic number.

199090870416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

199090870416 is the 446196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199090870416

199090870416 is an abundant number, since it is smaller than the sum of its proper divisors (394806599763).

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

199090870416 is an frugal number, since it uses more digits than its factorization.

199090870416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 199090870416 in words is "one hundred ninety-nine billion, ninety million, eight hundred seventy thousand, four hundred sixteen".