223823221186656 has 1152 divisors, whose sum is σ = 765409777292160. Its totient is φ = 56718025555968.

The previous prime is 223823221186651. The next prime is 223823221186709. The reversal of 223823221186656 is 656681122328322.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 223823221186596 and 223823221186605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223823221186651) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 83112966046 + ... + 83112968738.

It is an arithmetic number, because the mean of its divisors is an integer number (664418209455).

Almost surely, 2^{223823221186656} is an apocalyptic number.

223823221186656 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 223823221186656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382704888646080).

223823221186656 is an abundant number, since it is smaller than the sum of its proper divisors (541586556105504).

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

223823221186656 is a wasteful number, since it uses less digits than its factorization.

223823221186656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3216 (or 3201 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 57.

The spelling of 223823221186656 in words is "two hundred twenty-three trillion, eight hundred twenty-three billion, two hundred twenty-one million, one hundred eighty-six thousand, six hundred fifty-six".