230144441032 has 256 divisors, whose sum is σ = 531094579200. Its totient is φ = 92252160000.

The previous prime is 230144440993. The next prime is 230144441039.

230144441032 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (230144441039) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 232234057 + ... + 232235047.

It is an arithmetic number, because the mean of its divisors is an integer number (2074588200).

Almost surely, 2^230144441032 is an apocalyptic number.

230144441032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230144441032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265547289600).

230144441032 is an abundant number, since it is smaller than the sum of its proper divisors (300950138168).

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

230144441032 is a wasteful number, since it uses less digits than its factorization.

230144441032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 230144 and 441032, that added together give a palindrome (671176).

The spelling of 230144441032 in words is "two hundred thirty billion, one hundred forty-four million, four hundred forty-one thousand, thirty-two".