23344968129912 has 1024 divisors, whose sum is σ = 80714498457600. Its totient is φ = 6150955345920.

The previous prime is 23344968129911. The next prime is 23344968129913. The reversal of 23344968129912 is 21992186944332.

23344968129912 is a `hidden beast` number, since 2 + 3 + 3 + 4 + 496 + 8 + 129 + 9 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (23344968129911) and next prime (23344968129913).

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 23344968129912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23344968129911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 30838795038 + ... + 30838795794.

It is an arithmetic number, because the mean of its divisors is an integer number (78822752400).

Almost surely, 2^{23344968129912} is an apocalyptic number.

23344968129912 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 23344968129912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40357249228800).

23344968129912 is an abundant number, since it is smaller than the sum of its proper divisors (57369530327688).

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

23344968129912 is a wasteful number, since it uses less digits than its factorization.

23344968129912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1415 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The spelling of 23344968129912 in words is "twenty-three trillion, three hundred forty-four billion, nine hundred sixty-eight million, one hundred twenty-nine thousand, nine hundred twelve".