14124532553344 has 128 divisors (see below), whose sum is σ = 30349663848000. Its totient is φ = 6525763706880.

The previous prime is 14124532553323. The next prime is 14124532553359. The reversal of 14124532553344 is 44335523542141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 14124532553294 and 14124532553303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462947562 + ... + 462978070.

Almost surely, 2^{14124532553344} 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 14124532553344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15174831924000).

14124532553344 is an abundant number, since it is smaller than the sum of its proper divisors (16225131294656).

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

14124532553344 is a wasteful number, since it uses less digits than its factorization.

14124532553344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35226 (or 35214 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 46.

The spelling of 14124532553344 in words is "fourteen trillion, one hundred twenty-four billion, five hundred thirty-two million, five hundred fifty-three thousand, three hundred forty-four".