206348513536 has 243 divisors, whose sum is σ = 474217337503. Its totient is φ = 89542942720.

The previous prime is 206348513533. The next prime is 206348513549. The reversal of 206348513536 is 635315843602.

The square root of 206348513536 is 454256.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 18894151936 + 187454361600 = 137456^2 + 432960^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (206348513533) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2318522580 + ... + 2318522668.

Almost surely, 2^206348513536 is an apocalyptic number.

206348513536 is the 454256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206348513536

206348513536 is an abundant number, since it is smaller than the sum of its proper divisors (267868823967).

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

206348513536 is an frugal number, since it uses more digits than its factorization.

206348513536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 46.

The spelling of 206348513536 in words is "two hundred six billion, three hundred forty-eight million, five hundred thirteen thousand, five hundred thirty-six".