14116349472 has 192 divisors, whose sum is σ = 39197491200. Its totient is φ = 4442480640.

The previous prime is 14116349413. The next prime is 14116349479. The reversal of 14116349472 is 27494361141.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (14116349479) 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, 22804779 + ... + 22805397.

It is an arithmetic number, because the mean of its divisors is an integer number (204153600).

Almost surely, 2^14116349472 is an apocalyptic number.

14116349472 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 14116349472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19598745600).

14116349472 is an abundant number, since it is smaller than the sum of its proper divisors (25081141728).

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

14116349472 is a wasteful number, since it uses less digits than its factorization.

14116349472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 831 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The spelling of 14116349472 in words is "fourteen billion, one hundred sixteen million, three hundred forty-nine thousand, four hundred seventy-two".