14211545414144 has 80 divisors (see below), whose sum is σ = 30584742196008. Its totient is φ = 6558069768192.

The previous prime is 14211545414083. The next prime is 14211545414153. The reversal of 14211545414144 is 44141454511241.

It can be written as a sum of positive squares in 4 ways, for example, as 11981899174144 + 2229646240000 = 3461488^2 + 1493200^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40005434 + ... + 40359110.

Almost surely, 2^{14211545414144} 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 14211545414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15292371098004).

14211545414144 is an abundant number, since it is smaller than the sum of its proper divisors (16373196781864).

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

14211545414144 is an equidigital number, since it uses as much as digits as its factorization.

14211545414144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359745 (or 359729 counting only the distinct ones).

The product of its digits is 204800, while the sum is 41.

Adding to 14211545414144 its reverse (44141454511241), we get a palindrome (58352999925385).

The spelling of 14211545414144 in words is "fourteen trillion, two hundred eleven billion, five hundred forty-five million, four hundred fourteen thousand, one hundred forty-four".