230234202432032 has 96 divisors (see below), whose sum is σ = 468587029929984. Its totient is φ = 111239000985600.

The previous prime is 230234202432011. The next prime is 230234202432083.

230234202432032 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 230234202432032.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5362118468 + ... + 5362161404.

It is an arithmetic number, because the mean of its divisors is an integer number (4881114895104).

Almost surely, 2^{230234202432032} 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 230234202432032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234293514964992).

230234202432032 is an abundant number, since it is smaller than the sum of its proper divisors (238352827497952).

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

230234202432032 is a wasteful number, since it uses less digits than its factorization.

230234202432032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50842 (or 50834 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

It can be divided in two parts, 23023420 and 2432032, that added together give a palindrome (25455452).

The spelling of 230234202432032 in words is "two hundred thirty trillion, two hundred thirty-four billion, two hundred two million, four hundred thirty-two thousand, thirty-two".