206736384876345 has 36 divisors (see below), whose sum is σ = 371125816311276. Its totient is φ = 106457356790400.

The previous prime is 206736384876341. The next prime is 206736384876349. The reversal of 206736384876345 is 543678483637602.

206736384876345 is a `hidden beast` number, since 2 + 0 + 6 + 73 + 6 + 38 + 487 + 6 + 3 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (206736384876341) and next prime (206736384876349).

It can be written as a sum of positive squares in 6 ways, for example, as 2062960562601 + 204673424313744 = 1436301^2 + 14306412^2 .

It is not a de Polignac number, because 206736384876345 - 2² = 206736384876341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (206736384876341) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2731318806 + ... + 2731394495.

It is an arithmetic number, because the mean of its divisors is an integer number (10309050453091).

Almost surely, 2^{206736384876345} is an apocalyptic number.

It is an amenable number.

206736384876345 is a deficient number, since it is larger than the sum of its proper divisors (164389431434931).

206736384876345 is a wasteful number, since it uses less digits than its factorization.

206736384876345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5462713370 (or 5462713338 counting only the distinct ones).

The product of its (nonzero) digits is 2926264320, while the sum is 72.

The spelling of 206736384876345 in words is "two hundred six trillion, seven hundred thirty-six billion, three hundred eighty-four million, eight hundred seventy-six thousand, three hundred forty-five".