14164374016 has 60 divisors (see below), whose sum is σ = 30645738882. Its totient is φ = 6537363456.

The previous prime is 14164374013. The next prime is 14164374023. The reversal of 14164374016 is 61047346141.

It can be written as a sum of positive squares in 3 ways, for example, as 8968847616 + 5195526400 = 94704^2 + 72080^2 .

It is not an unprimeable number, because it can be changed into a prime (14164374013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4680 + ... + 168376.

Almost surely, 2^14164374016 is an apocalyptic number.

14164374016 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 14164374016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15322869441).

14164374016 is an abundant number, since it is smaller than the sum of its proper divisors (16481364866).

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

14164374016 is an equidigital number, since it uses as much as digits as its factorization.

14164374016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163741 (or 163712 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 14164374016 in words is "fourteen billion, one hundred sixty-four million, three hundred seventy-four thousand, sixteen".