223222824766368 has 384 divisors, whose sum is σ = 748273626777600. Its totient is φ = 63418463502336.

The previous prime is 223222824766367. The next prime is 223222824766369. The reversal of 223222824766368 is 863667428222322.

223222824766368 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 2 + 28 + 247 + 6 + 6 + 368 = 666.

It is an interprime number because it is at equal distance from previous prime (223222824766367) and next prime (223222824766369).

It is a super-3 number, since 3×223222824766368³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (223222824766367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2618130523 + ... + 2618215781.

It is an arithmetic number, because the mean of its divisors is an integer number (1948629236400).

Almost surely, 2^{223222824766368} is an apocalyptic number.

223222824766368 is a gapful number since it is divisible by the number (28) 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 223222824766368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374136813388800).

223222824766368 is an abundant number, since it is smaller than the sum of its proper divisors (525050802011232).

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

223222824766368 is a wasteful number, since it uses less digits than its factorization.

223222824766368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87721 (or 87707 counting only the distinct ones).

The product of its digits is 222953472, while the sum is 63.

The spelling of 223222824766368 in words is "two hundred twenty-three trillion, two hundred twenty-two billion, eight hundred twenty-four million, seven hundred sixty-six thousand, three hundred sixty-eight".