23232355323232 has 576 divisors, whose sum is σ = 54604588304448. Its totient is φ = 9644728320000.

The previous prime is 23232355323227. The next prime is 23232355323253.

23232355323232 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128355554182 + ... + 128355554362.

It is an arithmetic number, because the mean of its divisors is an integer number (94799632473).

Almost surely, 2^{23232355323232} is an apocalyptic number.

23232355323232 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 23232355323232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27302294152224).

23232355323232 is an abundant number, since it is smaller than the sum of its proper divisors (31372232981216).

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

23232355323232 is a wasteful number, since it uses less digits than its factorization.

23232355323232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 524 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 40.

It can be divided in two parts, 2323235 and 5323232, that added together give a palindrome (7646467).

The spelling of 23232355323232 in words is "twenty-three trillion, two hundred thirty-two billion, three hundred fifty-five million, three hundred twenty-three thousand, two hundred thirty-two".