206201087946 has 96 divisors (see below), whose sum is σ = 519893637120. Its totient is φ = 57843955872.

The previous prime is 206201087933. The next prime is 206201088007. The reversal of 206201087946 is 649780102602.

It is a happy number.

206201087946 is a `hidden beast` number, since 2 + 0 + 620 + 10 + 8 + 7 + 9 + 4 + 6 = 666.

206201087946 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×206201087946² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6101331 + ... + 6135033.

It is an arithmetic number, because the mean of its divisors is an integer number (5415558720).

Almost surely, 2^206201087946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206201087946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259946818560).

206201087946 is an abundant number, since it is smaller than the sum of its proper divisors (313692549174).

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

206201087946 is a wasteful number, since it uses less digits than its factorization.

206201087946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34600 (or 34597 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 206201087946 in words is "two hundred six billion, two hundred one million, eighty-seven thousand, nine hundred forty-six".