14116384128 has 384 divisors, whose sum is σ = 47950151040. Its totient is φ = 3638476800.

The previous prime is 14116384103. The next prime is 14116384141. The reversal of 14116384128 is 82148361141.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49881075 + ... + 49881357.

It is an arithmetic number, because the mean of its divisors is an integer number (124870185).

Almost surely, 2^14116384128 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 14116384128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23975075520).

14116384128 is an abundant number, since it is smaller than the sum of its proper divisors (33833766912).

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

14116384128 is a wasteful number, since it uses less digits than its factorization.

14116384128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 547 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The spelling of 14116384128 in words is "fourteen billion, one hundred sixteen million, three hundred eighty-four thousand, one hundred twenty-eight".