206936683466436 has 1215 divisors, whose sum is σ = 705502430325693. Its totient is φ = 52698510627840.

The previous prime is 206936683466377. The next prime is 206936683466441. The reversal of 206936683466436 is 634664386639602.

The square root of 206936683466436 is 14385294.

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

206936683466436 is a `hidden beast` number, since 2 + 0 + 6 + 93 + 6 + 68 + 3 + 46 + 6 + 436 = 666.

It can be written as a sum of positive squares in only one way, i.e., 92922466536900 + 114014216929536 = 9639630^2 + 10677744^2 .

It is a super-2 number, since 2×206936683466436² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 1933987695895 + ... + 1933987696001.

Almost surely, 2^{206936683466436} is an apocalyptic number.

206936683466436 is the 14385294-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206936683466436

206936683466436 is an abundant number, since it is smaller than the sum of its proper divisors (498565746859257).

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

206936683466436 is a wasteful number, since it uses less digits than its factorization.

206936683466436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 2902376448, while the sum is 72.

The spelling of 206936683466436 in words is "two hundred six trillion, nine hundred thirty-six billion, six hundred eighty-three million, four hundred sixty-six thousand, four hundred thirty-six".