14109057792 has 288 divisors, whose sum is σ = 44503603200. Its totient is φ = 4393746432.

The previous prime is 14109057779. The next prime is 14109057797. The reversal of 14109057792 is 29775090141.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (14109057797) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19622809 + ... + 19623527.

It is an arithmetic number, because the mean of its divisors is an integer number (154526400).

Almost surely, 2^14109057792 is an apocalyptic number.

14109057792 is a gapful number since it is divisible by the number (12) 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 14109057792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22251801600).

14109057792 is an abundant number, since it is smaller than the sum of its proper divisors (30394545408).

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

14109057792 is a wasteful number, since it uses less digits than its factorization.

14109057792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 14109057792 in words is "fourteen billion, one hundred nine million, fifty-seven thousand, seven hundred ninety-two".