233142241332 has 192 divisors, whose sum is σ = 730742390784. Its totient is φ = 55872322560.

The previous prime is 233142241331. The next prime is 233142241351.

It is a happy number.

233142241332 is nontrivially palindromic in base 10.

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 233142241332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233142241331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43036288 + ... + 43041704.

It is an arithmetic number, because the mean of its divisors is an integer number (3805949952).

Almost surely, 2^233142241332 is an apocalyptic number.

233142241332 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 233142241332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365371195392).

233142241332 is an abundant number, since it is smaller than the sum of its proper divisors (497600149452).

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

233142241332 is a wasteful number, since it uses less digits than its factorization.

233142241332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9038 (or 9036 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

It can be divided in two parts, 233142 and 241332, that added together give a palindrome (474474).

The spelling of 233142241332 in words is "two hundred thirty-three billion, one hundred forty-two million, two hundred forty-one thousand, three hundred thirty-two".