233504405332 has 96 divisors (see below), whose sum is σ = 469359120384. Its totient is φ = 100678982400.

The previous prime is 233504405273. The next prime is 233504405357.

233504405332 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, 16223043 + ... + 16237429.

It is an arithmetic number, because the mean of its divisors is an integer number (4889157504).

Almost surely, 2^233504405332 is an apocalyptic number.

233504405332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

233504405332 is an abundant number, since it is smaller than the sum of its proper divisors (235854715052).

233504405332 is a wasteful number, since it uses less digits than its factorization.

233504405332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14669 (or 14667 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 34.

It can be divided in two parts, 233504 and 405332, that added together give a palindrome (638836).

The spelling of 233504405332 in words is "two hundred thirty-three billion, five hundred four million, four hundred five thousand, three hundred thirty-two".