23241122114232 has 256 divisors, whose sum is σ = 66462933888000. Its totient is φ = 6703822540800.

The previous prime is 23241122114143. The next prime is 23241122114257.

23241122114232 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 23241122114232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1045520494 + ... + 1045542722.

It is an arithmetic number, because the mean of its divisors is an integer number (259620835500).

Almost surely, 2^{23241122114232} is an apocalyptic number.

23241122114232 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 23241122114232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33231466944000).

23241122114232 is an abundant number, since it is smaller than the sum of its proper divisors (43221811773768).

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

23241122114232 is a wasteful number, since it uses less digits than its factorization.

23241122114232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23102 (or 23098 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 2324112 and 2114232, that added together give a palindrome (4438344).

The spelling of 23241122114232 in words is "twenty-three trillion, two hundred forty-one billion, one hundred twenty-two million, one hundred fourteen thousand, two hundred thirty-two".