233401344132 has 96 divisors (see below), whose sum is σ = 611624329344. Its totient is φ = 68652057600.

The previous prime is 233401344109. The next prime is 233401344139. The reversal of 233401344132 is 231443104332.

It is a happy number.

233401344132 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 233401344132.

It is not an unprimeable number, because it can be changed into a prime (233401344139) by changing a digit.

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, 1999408 + ... + 2112920.

It is an arithmetic number, because the mean of its divisors is an integer number (6371086764).

Almost surely, 2^233401344132 is an apocalyptic number.

233401344132 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 233401344132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305812164672).

233401344132 is an abundant number, since it is smaller than the sum of its proper divisors (378222985212).

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

233401344132 is a wasteful number, since it uses less digits than its factorization.

233401344132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113989 (or 113987 counting only the distinct ones).

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

Adding to 233401344132 its reverse (231443104332), we get a palindrome (464844448464).

The spelling of 233401344132 in words is "two hundred thirty-three billion, four hundred one million, three hundred forty-four thousand, one hundred thirty-two".