223891368960 has 704 divisors, whose sum is σ = 848064043008. Its totient is φ = 49347035136.

The previous prime is 223891368937. The next prime is 223891369001. The reversal of 223891368960 is 69863198322.

223891368960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 223891368960.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 664365912 + ... + 664366248.

Almost surely, 2^223891368960 is an apocalyptic number.

223891368960 is a gapful number since it is divisible by the number (20) 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 223891368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424032021504).

223891368960 is an abundant number, since it is smaller than the sum of its proper divisors (624172674048).

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

223891368960 is a wasteful number, since it uses less digits than its factorization.

223891368960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The spelling of 223891368960 in words is "two hundred twenty-three billion, eight hundred ninety-one million, three hundred sixty-eight thousand, nine hundred sixty".