14331727872 has 936 divisors, whose sum is σ = 57102147648. Its totient is φ = 3503554560.

The previous prime is 14331727859. The next prime is 14331727913. The reversal of 14331727872 is 27872713341.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 843042808 + ... + 843042824.

It is an arithmetic number, because the mean of its divisors is an integer number (61006568).

Almost surely, 2^14331727872 is an apocalyptic number.

14331727872 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 14331727872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28551073824).

14331727872 is an abundant number, since it is smaller than the sum of its proper divisors (42770419776).

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

14331727872 is an equidigital number, since it uses as much as digits as its factorization.

14331727872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 40 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The spelling of 14331727872 in words is "fourteen billion, three hundred thirty-one million, seven hundred twenty-seven thousand, eight hundred seventy-two".