14291741772 has 144 divisors (see below), whose sum is σ = 45084678912. Its totient is φ = 3708512640.

The previous prime is 14291741707. The next prime is 14291741791. The reversal of 14291741772 is 27714719241.

14291741772 is a `hidden beast` number, since 142 + 91 + 7 + 417 + 7 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3953838 + ... + 3957450.

It is an arithmetic number, because the mean of its divisors is an integer number (313088048).

Almost surely, 2^14291741772 is an apocalyptic number.

14291741772 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 14291741772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22542339456).

14291741772 is an abundant number, since it is smaller than the sum of its proper divisors (30792937140).

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

14291741772 is a wasteful number, since it uses less digits than its factorization.

14291741772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5068 (or 5063 counting only the distinct ones).

The product of its digits is 197568, while the sum is 45.

The spelling of 14291741772 in words is "fourteen billion, two hundred ninety-one million, seven hundred forty-one thousand, seven hundred seventy-two".