14114727296 has 128 divisors (see below), whose sum is σ = 30730233600. Its totient is φ = 6435072000.

The previous prime is 14114727271. The next prime is 14114727301. The reversal of 14114727296 is 69272741141.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7423946 + ... + 7425846.

It is an arithmetic number, because the mean of its divisors is an integer number (240079950).

Almost surely, 2^14114727296 is an apocalyptic number.

14114727296 is a gapful number since it is divisible by the number (16) 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 14114727296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15365116800).

14114727296 is an abundant number, since it is smaller than the sum of its proper divisors (16615506304).

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

14114727296 is a wasteful number, since it uses less digits than its factorization.

14114727296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 2036 counting only the distinct ones).

The product of its digits is 169344, while the sum is 44.

The spelling of 14114727296 in words is "fourteen billion, one hundred fourteen million, seven hundred twenty-seven thousand, two hundred ninety-six".