13714381744 has 80 divisors (see below), whose sum is σ = 30935520000. Its totient is φ = 5768692992.

The previous prime is 13714381727. The next prime is 13714381771. The reversal of 13714381744 is 44718341731.

13714381744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13714381744.

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 15 ways as a sum of consecutive naturals, for example, 1301007 + ... + 1311505.

It is an arithmetic number, because the mean of its divisors is an integer number (386694000).

Almost surely, 2^13714381744 is an apocalyptic number.

13714381744 is a gapful number since it is divisible by the number (14) 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 13714381744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15467760000).

13714381744 is an abundant number, since it is smaller than the sum of its proper divisors (17221138256).

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

13714381744 is a wasteful number, since it uses less digits than its factorization.

13714381744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10730 (or 10724 counting only the distinct ones).

The product of its digits is 225792, while the sum is 43.

The spelling of 13714381744 in words is "thirteen billion, seven hundred fourteen million, three hundred eighty-one thousand, seven hundred forty-four".