14129516544 has 624 divisors, whose sum is σ = 48317201856. Its totient is φ = 3633315840.

The previous prime is 14129516539. The next prime is 14129516549. The reversal of 14129516544 is 44561592141.

It is an interprime number because it is at equal distance from previous prime (14129516539) and next prime (14129516549).

It is a tau number, because it is divible by the number of its divisors (624).

It is a junction number, because it is equal to n+sod(n) for n = 14129516496 and 14129516505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14129516549) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328593387 + ... + 328593429.

Almost surely, 2^14129516544 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 14129516544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24158600928).

14129516544 is an abundant number, since it is smaller than the sum of its proper divisors (34187685312).

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

14129516544 is a wasteful number, since it uses less digits than its factorization.

14129516544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 89 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The spelling of 14129516544 in words is "fourteen billion, one hundred twenty-nine million, five hundred sixteen thousand, five hundred forty-four".