223613312256 has 216 divisors, whose sum is σ = 682845980544. Its totient is φ = 72950906880.

The previous prime is 223613312239. The next prime is 223613312261. The reversal of 223613312256 is 652213316322.

223613312256 is a `hidden beast` number, since 2 + 2 + 3 + 613 + 3 + 12 + 25 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a self number, because there is not a number n which added to its sum of digits gives 223613312256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2885536 + ... + 2962016.

It is an arithmetic number, because the mean of its divisors is an integer number (3161323984).

Almost surely, 2^223613312256 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 223613312256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341422990272).

223613312256 is an abundant number, since it is smaller than the sum of its proper divisors (459232668288).

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

223613312256 is an frugal number, since it uses more digits than its factorization.

223613312256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76559 (or 76533 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

Adding to 223613312256 its reverse (652213316322), we get a palindrome (875826628578).

The spelling of 223613312256 in words is "two hundred twenty-three billion, six hundred thirteen million, three hundred twelve thousand, two hundred fifty-six".