206384743332 has 144 divisors (see below), whose sum is σ = 539777063280. Its totient is φ = 66440134656.

The previous prime is 206384743319. The next prime is 206384743351. The reversal of 206384743332 is 233347483602.

206384743332 is a `hidden beast` number, since 2 + 0 + 638 + 4 + 7 + 4 + 3 + 3 + 3 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 88169800356 + 118214942976 = 296934^2 + 343824^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115362294 + ... + 115364082.

Almost surely, 2^206384743332 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 206384743332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269888531640).

206384743332 is an abundant number, since it is smaller than the sum of its proper divisors (333392319948).

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

206384743332 is a wasteful number, since it uses less digits than its factorization.

206384743332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 45.

The spelling of 206384743332 in words is "two hundred six billion, three hundred eighty-four million, seven hundred forty-three thousand, three hundred thirty-two".