14013234556416 has 720 divisors, whose sum is σ = 44726707396800. Its totient is φ = 4217406455808.

The previous prime is 14013234556379. The next prime is 14013234556417. The reversal of 14013234556416 is 61465543231041.

14013234556416 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 32 + 3 + 45 + 564 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14013234556417) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 3811049170 + ... + 3811052846.

It is an arithmetic number, because the mean of its divisors is an integer number (62120426940).

Almost surely, 2^{14013234556416} is an apocalyptic number.

14013234556416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14013234556416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22363353698400).

14013234556416 is an abundant number, since it is smaller than the sum of its proper divisors (30713472840384).

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

14013234556416 is a wasteful number, since it uses less digits than its factorization.

14013234556416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3847 (or 3809 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

Adding to 14013234556416 its reverse (61465543231041), we get a palindrome (75478777787457).

The spelling of 14013234556416 in words is "fourteen trillion, thirteen billion, two hundred thirty-four million, five hundred fifty-six thousand, four hundred sixteen".