205616226816 has 1440 divisors, whose sum is σ = 837354405888. Its totient is φ = 48910417920.

The previous prime is 205616226811. The next prime is 205616226817. The reversal of 205616226816 is 618622616502.

205616226816 is a `hidden beast` number, since 2 + 0 + 5 + 6 + 1 + 622 + 6 + 8 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205616226811) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1619025345 + ... + 1619025471.

Almost surely, 2^205616226816 is an apocalyptic number.

205616226816 is a gapful number since it is divisible by the number (26) 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 205616226816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418677202944).

205616226816 is an abundant number, since it is smaller than the sum of its proper divisors (631738179072).

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

205616226816 is a wasteful number, since it uses less digits than its factorization.

205616226816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 205616226816 in words is "two hundred five billion, six hundred sixteen million, two hundred twenty-six thousand, eight hundred sixteen".