320233030000000 has 768 divisors, whose sum is σ = 909053747035200. Its totient is φ = 112005504000000.

The previous prime is 320233029999959. The next prime is 320233030000021. The reversal of 320233030000000 is 30332023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32109995014 + ... + 32110004986.

Almost surely, 2^{320233030000000} 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 320233030000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454526873517600).

320233030000000 is an abundant number, since it is smaller than the sum of its proper divisors (588820717035200).

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

320233030000000 is an frugal number, since it uses more digits than its factorization.

320233030000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10067 (or 10012 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 16.

Adding to 320233030000000 its reverse (30332023), we get a palindrome (320233060332023).

The spelling of 320233030000000 in words is "three hundred twenty trillion, two hundred thirty-three billion, thirty million", and thus it is an aban number.