13719719104 has 112 divisors (see below), whose sum is σ = 34589126656. Its totient is φ = 5252428800.

The previous prime is 13719719089. The next prime is 13719719131. The reversal of 13719719104 is 40191791731.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142549 + ... + 218539.

It is an arithmetic number, because the mean of its divisors is an integer number (308831488).

Almost surely, 2^13719719104 is an apocalyptic number.

13719719104 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 13719719104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17294563328).

13719719104 is an abundant number, since it is smaller than the sum of its proper divisors (20869407552).

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

13719719104 is a wasteful number, since it uses less digits than its factorization.

13719719104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76054 (or 76044 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 43.

The spelling of 13719719104 in words is "thirteen billion, seven hundred nineteen million, seven hundred nineteen thousand, one hundred four".