233233343332332 has 144 divisors (see below), whose sum is σ = 650382359988480. Its totient is φ = 63720249715584.

The previous prime is 233233343332303. The next prime is 233233343332391.

233233343332332 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137307403 + ... + 138995645.

Almost surely, 2^{233233343332332} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233233343332332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325191179994240).

233233343332332 is an abundant number, since it is smaller than the sum of its proper divisors (417149016656148).

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

233233343332332 is a wasteful number, since it uses less digits than its factorization.

233233343332332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691412 (or 1691387 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 42.

The spelling of 233233343332332 in words is "two hundred thirty-three trillion, two hundred thirty-three billion, three hundred forty-three million, three hundred thirty-two thousand, three hundred thirty-two".