230332011333312 has 336 divisors, whose sum is σ = 743035169410560. Its totient is φ = 61672167211008.

The previous prime is 230332011333311. The next prime is 230332011333313. The reversal of 230332011333312 is 213333110233032.

230332011333312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230332011333311) and next prime (230332011333313).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×230332011333312² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 230332011333312.

It is not an unprimeable number, because it can be changed into a prime (230332011333311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89228389 + ... + 91773467.

Almost surely, 2^{230332011333312} 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 230332011333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371517584705280).

230332011333312 is an abundant number, since it is smaller than the sum of its proper divisors (512703158077248).

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

230332011333312 is a wasteful number, since it uses less digits than its factorization.

230332011333312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545368 (or 2545341 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 30.

Adding to 230332011333312 its reverse (213333110233032), we get a palindrome (443665121566344).

The spelling of 230332011333312 in words is "two hundred thirty trillion, three hundred thirty-two billion, eleven million, three hundred thirty-three thousand, three hundred twelve".