13704832464 has 80 divisors (see below), whose sum is σ = 36108849600. Its totient is φ = 4477800448.

The previous prime is 13704832451. The next prime is 13704832469. The reversal of 13704832464 is 46423840731.

13704832464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13704832464² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13704832469) 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, 992842 + ... + 1006550.

It is an arithmetic number, because the mean of its divisors is an integer number (451360620).

Almost surely, 2^13704832464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13704832464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18054424800).

13704832464 is an abundant number, since it is smaller than the sum of its proper divisors (22404017136).

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

13704832464 is a wasteful number, since it uses less digits than its factorization.

13704832464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14132 (or 14126 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 13704832464 in words is "thirteen billion, seven hundred four million, eight hundred thirty-two thousand, four hundred sixty-four".