14718741920 has 96 divisors (see below), whose sum is σ = 35259198912. Its totient is φ = 5805463552.

The previous prime is 14718741901. The next prime is 14718741929. The reversal of 14718741920 is 2914781741.

14718741920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14718741929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12655259 + ... + 12656421.

It is an arithmetic number, because the mean of its divisors is an integer number (367283322).

Almost surely, 2^14718741920 is an apocalyptic number.

14718741920 is a gapful number since it is divisible by the number (10) 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 14718741920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17629599456).

14718741920 is an abundant number, since it is smaller than the sum of its proper divisors (20540456992).

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

14718741920 is a wasteful number, since it uses less digits than its factorization.

14718741920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 44.

The spelling of 14718741920 in words is "fourteen billion, seven hundred eighteen million, seven hundred forty-one thousand, nine hundred twenty".