206408217848 has 64 divisors (see below), whose sum is σ = 457777305600. Its totient is φ = 85380946560.

The previous prime is 206408217803. The next prime is 206408217887. The reversal of 206408217848 is 848712804602.

206408217848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×206408217848² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 206408217796 and 206408217805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 501086 + ... + 814802.

It is an arithmetic number, because the mean of its divisors is an integer number (7152770400).

Almost surely, 2^206408217848 is an apocalyptic number.

206408217848 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 206408217848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228888652800).

206408217848 is an abundant number, since it is smaller than the sum of its proper divisors (251369087752).

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

206408217848 is a wasteful number, since it uses less digits than its factorization.

206408217848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314140 (or 314136 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 50.

The spelling of 206408217848 in words is "two hundred six billion, four hundred eight million, two hundred seventeen thousand, eight hundred forty-eight".