233241329952 has 144 divisors (see below), whose sum is σ = 689836204512. Its totient is φ = 77522158080.

The previous prime is 233241329933. The next prime is 233241329977. The reversal of 233241329952 is 259923142332.

233241329952 is a `hidden beast` number, since 2 + 33 + 241 + 329 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 233241329898 and 233241329907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2655052 + ... + 2741492.

It is an arithmetic number, because the mean of its divisors is an integer number (4790529198).

Almost surely, 2^233241329952 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 233241329952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344918102256).

233241329952 is an abundant number, since it is smaller than the sum of its proper divisors (456594874560).

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

233241329952 is an equidigital number, since it uses as much as digits as its factorization.

233241329952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86813 (or 86793 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The spelling of 233241329952 in words is "two hundred thirty-three billion, two hundred forty-one million, three hundred twenty-nine thousand, nine hundred fifty-two".