14351742720 has 1296 divisors, whose sum is σ = 65603079360. Its totient is φ = 2824077312.

The previous prime is 14351742689. The next prime is 14351742773. The reversal of 14351742720 is 2724715341.

14351742720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 494887666 + ... + 494887694.

It is an arithmetic number, because the mean of its divisors is an integer number (50619660).

Almost surely, 2^14351742720 is an apocalyptic number.

14351742720 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 14351742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32801539680).

14351742720 is an abundant number, since it is smaller than the sum of its proper divisors (51251336640).

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

14351742720 is a wasteful number, since it uses less digits than its factorization.

14351742720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 14351742720 in words is "fourteen billion, three hundred fifty-one million, seven hundred forty-two thousand, seven hundred twenty".