206346445056 has 360 divisors, whose sum is σ = 629845191360. Its totient is φ = 67167719424.

The previous prime is 206346445049. The next prime is 206346445057. The reversal of 206346445056 is 650544643602.

It is a happy number.

206346445056 is a `hidden beast` number, since 2 + 0 + 63 + 46 + 44 + 505 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (206346445057) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 394543611 + ... + 394544133.

It is an arithmetic number, because the mean of its divisors is an integer number (1749569976).

Almost surely, 2^206346445056 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 206346445056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314922595680).

206346445056 is an abundant number, since it is smaller than the sum of its proper divisors (423498746304).

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

206346445056 is an equidigital number, since it uses as much as digits as its factorization.

206346445056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 206346445056 in words is "two hundred six billion, three hundred forty-six million, four hundred forty-five thousand, fifty-six".