230413323314032 has 40 divisors (see below), whose sum is σ = 477625547287760. Its totient is φ = 107353921121280.

The previous prime is 230413323314029. The next prime is 230413323314039.

It is a happy number.

230413323314032 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230413323314039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6212592633 + ... + 6212629720.

It is an arithmetic number, because the mean of its divisors is an integer number (11940638682194).

Almost surely, 2^{230413323314032} is an apocalyptic number.

It is an amenable number.

230413323314032 is an abundant number, since it is smaller than the sum of its proper divisors (247212223973728).

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

230413323314032 is a wasteful number, since it uses less digits than its factorization.

230413323314032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12425222441 (or 12425222435 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 34.

The spelling of 230413323314032 in words is "two hundred thirty trillion, four hundred thirteen billion, three hundred twenty-three million, three hundred fourteen thousand, thirty-two".