208198590113 has 16 divisors (see below), whose sum is σ = 228915799056. Its totient is φ = 188553461760.

The previous prime is 208198590107. The next prime is 208198590133. The reversal of 208198590113 is 311095891802.

It is a happy number.

208198590113 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 8 ways, for example, as 670965409 + 207527624704 = 25903^2 + 455552^2 .

It is a cyclic number.

It is not a de Polignac number, because 208198590113 - 2¹⁴ = 208198573729 is a prime.

It is a super-3 number, since 3×208198590113³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (208198590133) 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 15 ways as a sum of consecutive naturals, for example, 1995056 + ... + 2096817.

It is an arithmetic number, because the mean of its divisors is an integer number (14307237441).

Almost surely, 2^208198590113 is an apocalyptic number.

It is an amenable number.

208198590113 is a deficient number, since it is larger than the sum of its proper divisors (20717208943).

208198590113 is a wasteful number, since it uses less digits than its factorization.

208198590113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4092004.

The product of its (nonzero) digits is 155520, while the sum is 47.

The spelling of 208198590113 in words is "two hundred eight billion, one hundred ninety-eight million, five hundred ninety thousand, one hundred thirteen".