230403202304032 has 96 divisors (see below), whose sum is σ = 486285969884400. Its totient is φ = 107074241691648.

The previous prime is 230403202304021. The next prime is 230403202304047.

230403202304032 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 188643742135696 + 41759460168336 = 13734764^2 + 6462156^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 36227368 + ... + 42109720.

Almost surely, 2^{230403202304032} 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 230403202304032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243142984942200).

230403202304032 is an abundant number, since it is smaller than the sum of its proper divisors (255882767580368).

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

230403202304032 is a wasteful number, since it uses less digits than its factorization.

230403202304032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5883278 (or 5883270 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

It can be divided in two parts, 23040320 and 2304032, that added together give a palindrome (25344352).

The spelling of 230403202304032 in words is "two hundred thirty trillion, four hundred three billion, two hundred two million, three hundred four thousand, thirty-two".