206216363808 has 1536 divisors, whose sum is σ = 828746956800. Its totient is φ = 48372940800.

The previous prime is 206216363807. The next prime is 206216363809. The reversal of 206216363808 is 808363612602.

It is a happy number.

206216363808 is a `hidden beast` number, since 2 + 0 + 6 + 2 + 1 + 6 + 3 + 638 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (206216363807) and next prime (206216363809).

It is not an unprimeable number, because it can be changed into a prime (206216363807) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2824881660 + ... + 2824881732.

It is an arithmetic number, because the mean of its divisors is an integer number (539548800).

Almost surely, 2^206216363808 is an apocalyptic number.

206216363808 is a gapful number since it is divisible by the number (28) 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 206216363808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414373478400).

206216363808 is an abundant number, since it is smaller than the sum of its proper divisors (622530592992).

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

206216363808 is a wasteful number, since it uses less digits than its factorization.

206216363808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 206216363808 in words is "two hundred six billion, two hundred sixteen million, three hundred sixty-three thousand, eight hundred eight".