14212144144 has 80 divisors (see below), whose sum is σ = 31113544320. Its totient is φ = 6229601280.

The previous prime is 14212144081. The next prime is 14212144147. The reversal of 14212144144 is 44144121241.

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

It is not an unprimeable number, because it can be changed into a prime (14212144147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6649444 + ... + 6651580.

It is an arithmetic number, because the mean of its divisors is an integer number (388919304).

Almost surely, 2^14212144144 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 14212144144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15556772160).

14212144144 is an abundant number, since it is smaller than the sum of its proper divisors (16901400176).

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

14212144144 is a wasteful number, since it uses less digits than its factorization.

14212144144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3488 (or 3482 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

Adding to 14212144144 its reverse (44144121241), we get a palindrome (58356265385).

The spelling of 14212144144 in words is "fourteen billion, two hundred twelve million, one hundred forty-four thousand, one hundred forty-four".