14019114128 has 120 divisors (see below), whose sum is σ = 30201816960. Its totient is φ = 6283526400.

The previous prime is 14019114119. The next prime is 14019114163. The reversal of 14019114128 is 82141191041.

It is a junction number, because it is equal to n+sod(n) for n = 14019114094 and 14019114103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13730258 + ... + 13731278.

It is an arithmetic number, because the mean of its divisors is an integer number (251681808).

Almost surely, 2^14019114128 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 14019114128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15100908480).

14019114128 is an abundant number, since it is smaller than the sum of its proper divisors (16182702832).

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

14019114128 is a wasteful number, since it uses less digits than its factorization.

14019114128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 32.

The spelling of 14019114128 in words is "fourteen billion, nineteen million, one hundred fourteen thousand, one hundred twenty-eight".