23411133111432 has 256 divisors, whose sum is σ = 66131399854080. Its totient is φ = 6844061952000.

The previous prime is 23411133111407. The next prime is 23411133111481.

It is a happy number.

23411133111432 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×23411133111432² (a number of 28 digits) contains 22 as substring.

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 23411133111432.

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, 806792988 + ... + 806822004.

It is an arithmetic number, because the mean of its divisors is an integer number (258325780680).

Almost surely, 2^{23411133111432} is an apocalyptic number.

23411133111432 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 23411133111432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33065699927040).

23411133111432 is an abundant number, since it is smaller than the sum of its proper divisors (42720266742648).

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

23411133111432 is a wasteful number, since it uses less digits than its factorization.

23411133111432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29772 (or 29768 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

It can be divided in two parts, 2341113 and 3111432, that added together give a palindrome (5452545).

The spelling of 23411133111432 in words is "twenty-three trillion, four hundred eleven billion, one hundred thirty-three million, one hundred eleven thousand, four hundred thirty-two".