14434113244144 has 80 divisors (see below), whose sum is σ = 30968123091840. Its totient is φ = 6462136961280.

The previous prime is 14434113244139. The next prime is 14434113244171. The reversal of 14434113244144 is 44144231143441.

It is a junction number, because it is equal to n+sod(n) for n = 14434113244097 and 14434113244106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88629862 + ... + 88792570.

It is an arithmetic number, because the mean of its divisors is an integer number (387101538648).

Almost surely, 2^{14434113244144} 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 14434113244144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15484061545920).

14434113244144 is an abundant number, since it is smaller than the sum of its proper divisors (16534009847696).

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

14434113244144 is a wasteful number, since it uses less digits than its factorization.

14434113244144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170318 (or 170312 counting only the distinct ones).

The product of its digits is 294912, while the sum is 40.

Adding to 14434113244144 its reverse (44144231143441), we get a palindrome (58578344387585).

The spelling of 14434113244144 in words is "fourteen trillion, four hundred thirty-four billion, one hundred thirteen million, two hundred forty-four thousand, one hundred forty-four".