223233311312 has 160 divisors (see below), whose sum is σ = 519163914240. Its totient is φ = 91789632000.

The previous prime is 223233311311. The next prime is 223233311333. The reversal of 223233311312 is 213113332322.

223233311312 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×223233311312³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223233311311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50836637 + ... + 50841027.

It is an arithmetic number, because the mean of its divisors is an integer number (3244774464).

Almost surely, 2^223233311312 is an apocalyptic number.

223233311312 is a gapful number since it is divisible by the number (22) 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 223233311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259581957120).

223233311312 is an abundant number, since it is smaller than the sum of its proper divisors (295930602928).

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

223233311312 is a wasteful number, since it uses less digits than its factorization.

223233311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5113 (or 5107 counting only the distinct ones).

The product of its digits is 3888, while the sum is 26.

Adding to 223233311312 its reverse (213113332322), we get a palindrome (436346643634).

The spelling of 223233311312 in words is "two hundred twenty-three billion, two hundred thirty-three million, three hundred eleven thousand, three hundred twelve".