199828217641 has 6 divisors (see below), whose sum is σ = 216382034670. Its totient is φ = 184456816128.

The previous prime is 199828217591. The next prime is 199828217711. The reversal of 199828217641 is 146712828991.

199828217641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 283754025 + 199544463616 = 16845^2 + 446704^2 .

It is not a de Polignac number, because 199828217641 - 2⁷ = 199828217513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (199828517641) 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 5 ways as a sum of consecutive naturals, for example, 591207576 + ... + 591207913.

It is an arithmetic number, because the mean of its divisors is an integer number (36063672445).

Almost surely, 2^199828217641 is an apocalyptic number.

It is an amenable number.

199828217641 is a deficient number, since it is larger than the sum of its proper divisors (16553817029).

199828217641 is a wasteful number, since it uses less digits than its factorization.

199828217641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182415515 (or 1182415502 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 58.

The spelling of 199828217641 in words is "one hundred ninety-nine billion, eight hundred twenty-eight million, two hundred seventeen thousand, six hundred forty-one".