14091265728 has 168 divisors, whose sum is σ = 43810275600. Its totient is φ = 4312842240.

The previous prime is 14091265723. The next prime is 14091265739. The reversal of 14091265728 is 82756219041.

It is a super-3 number, since 3×14091265728³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (14091265723) 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, 383923 + ... + 419021.

It is an arithmetic number, because the mean of its divisors is an integer number (260775450).

Almost surely, 2^14091265728 is an apocalyptic number.

14091265728 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 14091265728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21905137800).

14091265728 is an abundant number, since it is smaller than the sum of its proper divisors (29719009872).

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

14091265728 is a wasteful number, since it uses less digits than its factorization.

14091265728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35175 (or 35162 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 14091265728 in words is "fourteen billion, ninety-one million, two hundred sixty-five thousand, seven hundred twenty-eight".