14330144314432 has 112 divisors (see below), whose sum is σ = 28805237964720. Its totient is φ = 7072800768000.

The previous prime is 14330144314403. The next prime is 14330144314471. The reversal of 14330144314432 is 23441344103341.

It can be written as a sum of positive squares in 8 ways, for example, as 3403523178496 + 10926621135936 = 1844864^2 + 3305544^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14330144314391 and 14330144314400.

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, 1768931182 + ... + 1768939282.

It is an arithmetic number, because the mean of its divisors is an integer number (257189624685).

Almost surely, 2^{14330144314432} is an apocalyptic number.

It is an amenable number.

14330144314432 is an abundant number, since it is smaller than the sum of its proper divisors (14475093650288).

14330144314432 is a wasteful number, since it uses less digits than its factorization.

14330144314432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9360 (or 9350 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 37.

Adding to 14330144314432 its reverse (23441344103341), we get a palindrome (37771488417773).

The spelling of 14330144314432 in words is "fourteen trillion, three hundred thirty billion, one hundred forty-four million, three hundred fourteen thousand, four hundred thirty-two".