232338833232 has 160 divisors (see below), whose sum is σ = 683493396480. Its totient is φ = 67368576000.

The previous prime is 232338833189. The next prime is 232338833249.

232338833232 is nontrivially palindromic in base 10.

232338833232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×232338833232³ (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1377007 + ... + 1536497.

It is an arithmetic number, because the mean of its divisors is an integer number (4271833728).

Almost surely, 2^232338833232 is an apocalyptic number.

232338833232 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 232338833232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341746698240).

232338833232 is an abundant number, since it is smaller than the sum of its proper divisors (451154563248).

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

232338833232 is a wasteful number, since it uses less digits than its factorization.

232338833232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159633 (or 159627 counting only the distinct ones).

The product of its digits is 746496, while the sum is 42.

The spelling of 232338833232 in words is "two hundred thirty-two billion, three hundred thirty-eight million, eight hundred thirty-three thousand, two hundred thirty-two".