206229086208 has 448 divisors, whose sum is σ = 664337203200. Its totient is φ = 62984355840.

The previous prime is 206229086201. The next prime is 206229086237. The reversal of 206229086208 is 802680922602.

206229086208 is a `hidden beast` number, since 20 + 62 + 290 + 86 + 208 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206229086201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130276585 + ... + 130278167.

Almost surely, 2^206229086208 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 206229086208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332168601600).

206229086208 is an abundant number, since it is smaller than the sum of its proper divisors (458108116992).

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

206229086208 is a wasteful number, since it uses less digits than its factorization.

206229086208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 206229086208 in words is "two hundred six billion, two hundred twenty-nine million, eighty-six thousand, two hundred eight".