13729508904 has 64 divisors (see below), whose sum is σ = 35453376000. Its totient is φ = 4426076160.

The previous prime is 13729508899. The next prime is 13729508939. The reversal of 13729508904 is 40980592731.

13729508904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1400532 + ... + 1410300.

It is an arithmetic number, because the mean of its divisors is an integer number (553959000).

Almost surely, 2^13729508904 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 13729508904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17726688000).

13729508904 is an abundant number, since it is smaller than the sum of its proper divisors (21723867096).

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

13729508904 is a wasteful number, since it uses less digits than its factorization.

13729508904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11698 (or 11694 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 13729508904 in words is "thirteen billion, seven hundred twenty-nine million, five hundred eight thousand, nine hundred four".