232576442208 has 192 divisors, whose sum is σ = 740826051840. Its totient is φ = 70400563200.

The previous prime is 232576442177. The next prime is 232576442209. The reversal of 232576442208 is 802244675232.

232576442208 is a `hidden beast` number, since 2 + 32 + 576 + 4 + 42 + 2 + 0 + 8 = 666.

232576442208 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (232576442209) 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, 8987368 + ... + 9013208.

It is an arithmetic number, because the mean of its divisors is an integer number (3858469020).

Almost surely, 2^232576442208 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 232576442208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370413025920).

232576442208 is an abundant number, since it is smaller than the sum of its proper divisors (508249609632).

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

232576442208 is a wasteful number, since it uses less digits than its factorization.

232576442208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26818 (or 26804 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 232576442208 in words is "two hundred thirty-two billion, five hundred seventy-six million, four hundred forty-two thousand, two hundred eight".