223288000768 has 72 divisors (see below), whose sum is σ = 509704005888. Its totient is φ = 95633190912.

The previous prime is 223288000763. The next prime is 223288000783. The reversal of 223288000768 is 867000882322.

It is a super-3 number, since 3×223288000768³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223288000763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2797380 + ... + 2876092.

It is an arithmetic number, because the mean of its divisors is an integer number (7079222304).

Almost surely, 2^223288000768 is an apocalyptic number.

223288000768 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 223288000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254852002944).

223288000768 is an abundant number, since it is smaller than the sum of its proper divisors (286416005120).

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

223288000768 is an equidigital number, since it uses as much as digits as its factorization.

With its successor (223288000769) it forms an eRAP, since the sums of their prime factors are consecutive (80319 and 80320).

223288000768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80319 (or 80305 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The spelling of 223288000768 in words is "two hundred twenty-three billion, two hundred eighty-eight million, seven hundred sixty-eight", and thus it is an aban number.