14610971720 has 128 divisors (see below), whose sum is σ = 35257939200. Its totient is φ = 5436017664.

The previous prime is 14610971653. The next prime is 14610971723. The reversal of 14610971720 is 2717901641.

14610971720 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 (14610971723) 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 31 ways as a sum of consecutive naturals, for example, 10640954 + ... + 10642326.

It is an arithmetic number, because the mean of its divisors is an integer number (275452650).

Almost surely, 2^14610971720 is an apocalyptic number.

14610971720 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 14610971720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17628969600).

14610971720 is an abundant number, since it is smaller than the sum of its proper divisors (20646967480).

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

14610971720 is a wasteful number, since it uses less digits than its factorization.

14610971720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 38.

The spelling of 14610971720 in words is "fourteen billion, six hundred ten million, nine hundred seventy-one thousand, seven hundred twenty".