230032032000000 has 1344 divisors, whose sum is σ = 825771773736000. Its totient is φ = 56731238400000.

The previous prime is 230032031999969. The next prime is 230032032000047. The reversal of 230032032000000 is 230230032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 96287998806 + ... + 96288001194.

It is an arithmetic number, because the mean of its divisors is an integer number (614413522125).

Almost surely, 2^{230032032000000} is an apocalyptic number.

230032032000000 is a gapful number since it is divisible by the number (20) 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 230032032000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412885886868000).

230032032000000 is an abundant number, since it is smaller than the sum of its proper divisors (595739741736000).

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

230032032000000 is an frugal number, since it uses more digits than its factorization.

230032032000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

Adding to 230032032000000 its reverse (230230032), we get a palindrome (230032262230032).

The spelling of 230032032000000 in words is "two hundred thirty trillion, thirty-two billion, thirty-two million", and thus it is an aban number.