233332133232 has 80 divisors (see below), whose sum is σ = 658036597248. Its totient is φ = 70656791040.

The previous prime is 233332133207. The next prime is 233332133233. The reversal of 233332133232 is 232331233332.

It is a super-3 number, since 3×233332133232³ (a number of 35 digits) contains 333 as substring.

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 233332133232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233332133233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 596068 + ... + 906620.

Almost surely, 2^233332133232 is an apocalyptic number.

233332133232 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 233332133232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329018298624).

233332133232 is an abundant number, since it is smaller than the sum of its proper divisors (424704464016).

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

233332133232 is a wasteful number, since it uses less digits than its factorization.

233332133232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311998 (or 311992 counting only the distinct ones).

The product of its digits is 34992, while the sum is 30.

Adding to 233332133232 its reverse (232331233332), we get a palindrome (465663366564).

The spelling of 233332133232 in words is "two hundred thirty-three billion, three hundred thirty-two million, one hundred thirty-three thousand, two hundred thirty-two".