233241585142332 has 96 divisors (see below), whose sum is σ = 617087636524800. Its totient is φ = 67973323571712.

The previous prime is 233241585142277. The next prime is 233241585142343.

233241585142332 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3168919 + ... + 21829457.

It is an arithmetic number, because the mean of its divisors is an integer number (6427996213800).

Almost surely, 2^{233241585142332} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233241585142332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308543818262400).

233241585142332 is an abundant number, since it is smaller than the sum of its proper divisors (383846051382468).

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

233241585142332 is a wasteful number, since it uses less digits than its factorization.

233241585142332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18664795 (or 18664793 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 48.

The spelling of 233241585142332 in words is "two hundred thirty-three trillion, two hundred forty-one billion, five hundred eighty-five million, one hundred forty-two thousand, three hundred thirty-two".