233414606414332 has 96 divisors (see below), whose sum is σ = 477544418951040. Its totient is φ = 97761896939520.

The previous prime is 233414606414321. The next prime is 233414606414371.

233414606414332 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 166311144 + ... + 167708752.

It is an arithmetic number, because the mean of its divisors is an integer number (4974421030740).

Almost surely, 2^{233414606414332} is an apocalyptic number.

It is an amenable number.

233414606414332 is an abundant number, since it is smaller than the sum of its proper divisors (244129812536708).

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

233414606414332 is a wasteful number, since it uses less digits than its factorization.

233414606414332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398311 (or 1398309 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 46.

It can be divided in two parts, 23341460 and 6414332, that added together give a palindrome (29755792).

The spelling of 233414606414332 in words is "two hundred thirty-three trillion, four hundred fourteen billion, six hundred six million, four hundred fourteen thousand, three hundred thirty-two".