14100964128 has 144 divisors (see below), whose sum is σ = 40889590560. Its totient is φ = 4608165888.

The previous prime is 14100964123. The next prime is 14100964151. The reversal of 14100964128 is 82146900141.

14100964128 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 0 + 9 + 641 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14100964092 and 14100964101.

It is not an unprimeable number, because it can be changed into a prime (14100964123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7934376 + ... + 7936152.

It is an arithmetic number, because the mean of its divisors is an integer number (283955490).

Almost surely, 2^14100964128 is an apocalyptic number.

14100964128 is a gapful number since it is divisible by the number (18) 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 14100964128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20444795280).

14100964128 is an abundant number, since it is smaller than the sum of its proper divisors (26788626432).

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

14100964128 is a wasteful number, since it uses less digits than its factorization.

14100964128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 14100964128 in words is "fourteen billion, one hundred million, nine hundred sixty-four thousand, one hundred twenty-eight".