233664466332 has 48 divisors (see below), whose sum is σ = 599697874944. Its totient is φ = 70807409200.

The previous prime is 233664466331. The next prime is 233664466369.

233664466332 is nontrivially palindromic in base 10.

233664466332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233664466331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7298844 + ... + 7330787.

It is an arithmetic number, because the mean of its divisors is an integer number (12493705728).

Almost surely, 2^233664466332 is an apocalyptic number.

233664466332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

233664466332 is an abundant number, since it is smaller than the sum of its proper divisors (366033408612).

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

233664466332 is a wasteful number, since it uses less digits than its factorization.

233664466332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14629671 (or 14629647 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 48.

It can be divided in two parts, 233664 and 466332, that added together give a palindrome (699996).

The spelling of 233664466332 in words is "two hundred thirty-three billion, six hundred sixty-four million, four hundred sixty-six thousand, three hundred thirty-two".