13729918104 has 192 divisors, whose sum is σ = 43973130240. Its totient is φ = 3787223040.

The previous prime is 13729918093. The next prime is 13729918109. The reversal of 13729918104 is 40181992731.

It is a super-2 number, since 2×13729918104² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13729918104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13729918109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9014287 + ... + 9015809.

It is an arithmetic number, because the mean of its divisors is an integer number (229026720).

Almost surely, 2^13729918104 is an apocalyptic number.

13729918104 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 13729918104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21986565120).

13729918104 is an abundant number, since it is smaller than the sum of its proper divisors (30243212136).

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

13729918104 is a wasteful number, since it uses less digits than its factorization.

13729918104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

It can be divided in two parts, 137299 and 18104, that added together give a triangular number (155403 = T₅₅₇).

The spelling of 13729918104 in words is "thirteen billion, seven hundred twenty-nine million, nine hundred eighteen thousand, one hundred four".