23124411442132 has 384 divisors, whose sum is σ = 60646150656000. Its totient is φ = 7404553543680.

The previous prime is 23124411442129. The next prime is 23124411442163.

23124411442132 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (34).

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 127 ways as a sum of consecutive naturals, for example, 916931419 + ... + 916956637.

It is an arithmetic number, because the mean of its divisors is an integer number (157932684000).

Almost surely, 2^{23124411442132} is an apocalyptic number.

23124411442132 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 23124411442132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30323075328000).

23124411442132 is an abundant number, since it is smaller than the sum of its proper divisors (37521739213868).

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

23124411442132 is a wasteful number, since it uses less digits than its factorization.

23124411442132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25999 (or 25997 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

It can be divided in two parts, 2312441 and 1442132, that added together give a palindrome (3754573).

The spelling of 23124411442132 in words is "twenty-three trillion, one hundred twenty-four billion, four hundred eleven million, four hundred forty-two thousand, one hundred thirty-two".