13917392784 has 225 divisors, whose sum is σ = 42090319843. Its totient is φ = 4439522304.

The previous prime is 13917392747. The next prime is 13917392893. The reversal of 13917392784 is 48729371931.

The square root of 13917392784 is 117972.

It is a perfect power (a square), and thus also a powerful number.

13917392784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4802490000 + 9114902784 = 69300^2 + 95472^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

Its product of digits (2286144) is a multiple of the sum of its prime divisors (147).

It is a self number, because there is not a number n which added to its sum of digits gives 13917392784.

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 44 ways as a sum of consecutive naturals, for example, 123162712 + ... + 123162824.

Almost surely, 2^13917392784 is an apocalyptic number.

13917392784 is the 117972-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13917392784

13917392784 is an abundant number, since it is smaller than the sum of its proper divisors (28172927059).

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

13917392784 is an equidigital number, since it uses as much as digits as its factorization.

13917392784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 147 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The spelling of 13917392784 in words is "thirteen billion, nine hundred seventeen million, three hundred ninety-two thousand, seven hundred eighty-four".