206036565413346 has 256 divisors, whose sum is σ = 471405057638400. Its totient is φ = 66683249740800.

The previous prime is 206036565413221. The next prime is 206036565413387. The reversal of 206036565413346 is 643314565630602.

206036565413346 is a `hidden beast` number, since 2 + 0 + 6 + 0 + 3 + 6 + 56 + 541 + 3 + 3 + 46 = 666.

206036565413346 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 206036565413292 and 206036565413301.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 134576462601 + ... + 134576464131.

It is an arithmetic number, because the mean of its divisors is an integer number (1841426006400).

Almost surely, 2^{206036565413346} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206036565413346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235702528819200).

206036565413346 is an abundant number, since it is smaller than the sum of its proper divisors (265368492225054).

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

206036565413346 is a wasteful number, since it uses less digits than its factorization.

206036565413346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3022 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 54.

The spelling of 206036565413346 in words is "two hundred six trillion, thirty-six billion, five hundred sixty-five million, four hundred thirteen thousand, three hundred forty-six".