14100144324 has 96 divisors (see below), whose sum is σ = 37893381120. Its totient is φ = 3997327488.

The previous prime is 14100144307. The next prime is 14100144347. The reversal of 14100144324 is 42344100141.

It is a junction number, because it is equal to n+sod(n) for n = 14100144294 and 14100144303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10268902 + ... + 10270274.

It is an arithmetic number, because the mean of its divisors is an integer number (394722720).

Almost surely, 2^14100144324 is an apocalyptic number.

14100144324 is a gapful number since it is divisible by the number (14) 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 14100144324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18946690560).

14100144324 is an abundant number, since it is smaller than the sum of its proper divisors (23793236796).

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

14100144324 is a wasteful number, since it uses less digits than its factorization.

14100144324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2249 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14100144324 its reverse (42344100141), we get a palindrome (56444244465).

The spelling of 14100144324 in words is "fourteen billion, one hundred million, one hundred forty-four thousand, three hundred twenty-four".