206552260314 has 96 divisors (see below), whose sum is σ = 466842199824. Its totient is φ = 65941724160.

The previous prime is 206552260289. The next prime is 206552260333. The reversal of 206552260314 is 413062255602.

206552260314 is a `hidden beast` number, since 2 + 0 + 65 + 522 + 60 + 3 + 14 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 80523710289 + 126028550025 = 283767^2 + 355005^2 .

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, 26298412 + ... + 26306264.

Almost surely, 2^206552260314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206552260314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233421099912).

206552260314 is an abundant number, since it is smaller than the sum of its proper divisors (260289939510).

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

206552260314 is a wasteful number, since it uses less digits than its factorization.

206552260314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8512 (or 8509 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 206552260314 in words is "two hundred six billion, five hundred fifty-two million, two hundred sixty thousand, three hundred fourteen".