23233022033232 has 320 divisors, whose sum is σ = 72993578112000. Its totient is φ = 6275838320640.

The previous prime is 23233022033197. The next prime is 23233022033237.

23233022033232 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 23233022033232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23233022033237) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 775789683 + ... + 775819629.

It is an arithmetic number, because the mean of its divisors is an integer number (228104931600).

Almost surely, 2^{23233022033232} is an apocalyptic number.

23233022033232 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 23233022033232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36496789056000).

23233022033232 is an abundant number, since it is smaller than the sum of its proper divisors (49760556078768).

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

23233022033232 is a wasteful number, since it uses less digits than its factorization.

23233022033232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34554 (or 34548 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 30.

It can be divided in two parts, 2323302 and 2033232, that added together give a palindrome (4356534).

The spelling of 23233022033232 in words is "twenty-three trillion, two hundred thirty-three billion, twenty-two million, thirty-three thousand, two hundred thirty-two".