23114412144 has 120 divisors (see below), whose sum is σ = 65656534320. Its totient is φ = 7590122496.

The previous prime is 23114412137. The next prime is 23114412149. The reversal of 23114412144 is 44121441132.

23114412144 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 441 + 214 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23114412149) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3623742 + ... + 3630114.

It is an arithmetic number, because the mean of its divisors is an integer number (547137786).

Almost surely, 2^23114412144 is an apocalyptic number.

23114412144 is a gapful number since it is divisible by the number (24) 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 23114412144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32828267160).

23114412144 is an abundant number, since it is smaller than the sum of its proper divisors (42542122176).

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

23114412144 is a wasteful number, since it uses less digits than its factorization.

23114412144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6759 (or 6750 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 23114412144 its reverse (44121441132), we get a palindrome (67235853276).

The spelling of 23114412144 in words is "twenty-three billion, one hundred fourteen million, four hundred twelve thousand, one hundred forty-four".