206221581216 has 288 divisors, whose sum is σ = 720244586880. Its totient is φ = 54626254848.

The previous prime is 206221581187. The next prime is 206221581221. The reversal of 206221581216 is 612185122602.

206221581216 is a `hidden beast` number, since 2 + 0 + 62 + 2 + 1 + 581 + 2 + 16 = 666.

206221581216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2251320 + ... + 2341128.

It is an arithmetic number, because the mean of its divisors is an integer number (2500849260).

Almost surely, 2^206221581216 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 206221581216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360122293440).

206221581216 is an abundant number, since it is smaller than the sum of its proper divisors (514023005664).

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

206221581216 is a wasteful number, since it uses less digits than its factorization.

206221581216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89916 (or 89905 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 206221581216 in words is "two hundred six billion, two hundred twenty-one million, five hundred eighty-one thousand, two hundred sixteen".