233213323312332 has 288 divisors, whose sum is σ = 671899790016000. Its totient is φ = 68119627255680.

The previous prime is 233213323312331. The next prime is 233213323312391.

It is a happy number.

233213323312332 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 1 + 3 + 3 + 2 + 3 + 312 + 332 = 666.

233213323312332 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (233213323312331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 832208743 + ... + 832488929.

It is an arithmetic number, because the mean of its divisors is an integer number (2332985382000).

Almost surely, 2^{233213323312332} is an apocalyptic number.

233213323312332 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 233213323312332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335949895008000).

233213323312332 is an abundant number, since it is smaller than the sum of its proper divisors (438686466703668).

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

233213323312332 is a wasteful number, since it uses less digits than its factorization.

233213323312332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280858 (or 280831 counting only the distinct ones).

The product of its digits is 209952, while the sum is 36.

The spelling of 233213323312332 in words is "two hundred thirty-three trillion, two hundred thirteen billion, three hundred twenty-three million, three hundred twelve thousand, three hundred thirty-two".