206561862144 has 480 divisors, whose sum is σ = 683414544384. Its totient is φ = 59450941440.

The previous prime is 206561862131. The next prime is 206561862163. The reversal of 206561862144 is 441268165602.

It is a happy number.

206561862144 is a `hidden beast` number, since 2 + 0 + 6 + 5 + 6 + 18 + 621 + 4 + 4 = 666.

206561862144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 206561862144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190028769 + ... + 190029855.

Almost surely, 2^206561862144 is an apocalyptic number.

206561862144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206561862144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341707272192).

206561862144 is an abundant number, since it is smaller than the sum of its proper divisors (476852682240).

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

206561862144 is a wasteful number, since it uses less digits than its factorization.

206561862144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 206561862144 in words is "two hundred six billion, five hundred sixty-one million, eight hundred sixty-two thousand, one hundred forty-four".