233444213112 has 128 divisors (see below), whose sum is σ = 678412765440. Its totient is φ = 66155182080.

The previous prime is 233444213087. The next prime is 233444213117. The reversal of 233444213112 is 211312444332.

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

It is a self number, because there is not a number n which added to its sum of digits gives 233444213112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233444213117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 538963 + ... + 870269.

It is an arithmetic number, because the mean of its divisors is an integer number (5300099730).

Almost surely, 2^233444213112 is an apocalyptic number.

233444213112 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 233444213112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339206382720).

233444213112 is an abundant number, since it is smaller than the sum of its proper divisors (444968552328).

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

233444213112 is a wasteful number, since it uses less digits than its factorization.

233444213112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331501 (or 331497 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 233444213112 its reverse (211312444332), we get a palindrome (444756657444).

The spelling of 233444213112 in words is "two hundred thirty-three billion, four hundred forty-four million, two hundred thirteen thousand, one hundred twelve".