230132334432 has 768 divisors, whose sum is σ = 858966958080. Its totient is φ = 51956121600.

The previous prime is 230132334391. The next prime is 230132334491. The reversal of 230132334432 is 234433231032.

It is a super-2 number, since 2×230132334432² (a number of 24 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 230132334432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 440023323 + ... + 440023845.

It is an arithmetic number, because the mean of its divisors is an integer number (1118446560).

Almost surely, 2^230132334432 is an apocalyptic number.

230132334432 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 230132334432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429483479040).

230132334432 is an abundant number, since it is smaller than the sum of its proper divisors (628834623648).

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

230132334432 is a wasteful number, since it uses less digits than its factorization.

230132334432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 230132334432 its reverse (234433231032), we get a palindrome (464565565464).

The spelling of 230132334432 in words is "two hundred thirty billion, one hundred thirty-two million, three hundred thirty-four thousand, four hundred thirty-two".