14114009560014 has 192 divisors, whose sum is σ = 38006923368960. Its totient is φ = 3685858525440.

The previous prime is 14114009559953. The next prime is 14114009560153. The reversal of 14114009560014 is 41006590041141.

14114009560014 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 40 + 0 + 9 + 5 + 600 + 1 + 4 = 666.

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 95 ways as a sum of consecutive naturals, for example, 397660809 + ... + 397696299.

It is an arithmetic number, because the mean of its divisors is an integer number (197952725880).

Almost surely, 2^{14114009560014} is an apocalyptic number.

14114009560014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14114009560014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19003461684480).

14114009560014 is an abundant number, since it is smaller than the sum of its proper divisors (23892913808946).

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

14114009560014 is a wasteful number, since it uses less digits than its factorization.

14114009560014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37895 (or 37892 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 14114009560014 in words is "fourteen trillion, one hundred fourteen billion, nine million, five hundred sixty thousand, fourteen".