14414513400532 has 144 divisors (see below), whose sum is σ = 31433810903040. Its totient is φ = 5750033946048.

The previous prime is 14414513400527. The next prime is 14414513400587. The reversal of 14414513400532 is 23500431541441.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14414513400491 and 14414513400500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48565693 + ... + 48861595.

Almost surely, 2^{14414513400532} 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 14414513400532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15716905451520).

14414513400532 is an abundant number, since it is smaller than the sum of its proper divisors (17019297502508).

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

14414513400532 is a wasteful number, since it uses less digits than its factorization.

14414513400532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296170 (or 296161 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

Adding to 14414513400532 its reverse (23500431541441), we get a palindrome (37914944941973).

The spelling of 14414513400532 in words is "fourteen trillion, four hundred fourteen billion, five hundred thirteen million, four hundred thousand, five hundred thirty-two".