205223652236416 has 128 divisors (see below), whose sum is σ = 450408859056000. Its totient is φ = 92364066201600.

The previous prime is 205223652236381. The next prime is 205223652236417. The reversal of 205223652236416 is 614632256322502.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 205223652236416.

It is not an unprimeable number, because it can be changed into a prime (205223652236417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1007669956 + ... + 1007873596.

It is an arithmetic number, because the mean of its divisors is an integer number (3518819211375).

Almost surely, 2^{205223652236416} 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 205223652236416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225204429528000).

205223652236416 is an abundant number, since it is smaller than the sum of its proper divisors (245185206819584).

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

205223652236416 is a wasteful number, since it uses less digits than its factorization.

205223652236416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210718 (or 210706 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 49.

The spelling of 205223652236416 in words is "two hundred five trillion, two hundred twenty-three billion, six hundred fifty-two million, two hundred thirty-six thousand, four hundred sixteen".