14122918944 has 288 divisors, whose sum is σ = 43166462976. Its totient is φ = 4538695680.

The previous prime is 14122918897. The next prime is 14122918949. The reversal of 14122918944 is 44981922141.

It is a tau number, because it is divible by the number of its divisors (288).

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 14122918944.

It is not an unprimeable number, because it can be changed into a prime (14122918949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54952864 + ... + 54953120.

It is an arithmetic number, because the mean of its divisors is an integer number (149883552).

Almost surely, 2^14122918944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14122918944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21583231488).

14122918944 is an abundant number, since it is smaller than the sum of its proper divisors (29043544032).

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

14122918944 is a wasteful number, since it uses less digits than its factorization.

14122918944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 490 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The spelling of 14122918944 in words is "fourteen billion, one hundred twenty-two million, nine hundred eighteen thousand, nine hundred forty-four".