206864198016 has 256 divisors, whose sum is σ = 636347612160. Its totient is φ = 58320838656.

The previous prime is 206864197999. The next prime is 206864198033. The reversal of 206864198016 is 610891468602.

It is an interprime number because it is at equal distance from previous prime (206864197999) and next prime (206864198033).

It is a self number, because there is not a number n which added to its sum of digits gives 206864198016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87764710 + ... + 87767066.

It is an arithmetic number, because the mean of its divisors is an integer number (2485732860).

Almost surely, 2^206864198016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206864198016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318173806080).

206864198016 is an abundant number, since it is smaller than the sum of its proper divisors (429483414144).

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

206864198016 is a wasteful number, since it uses less digits than its factorization.

206864198016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 206864198016 in words is "two hundred six billion, eight hundred sixty-four million, one hundred ninety-eight thousand, sixteen".