13729157568 has 168 divisors, whose sum is σ = 47619647712. Its totient is φ = 3691855872.

The previous prime is 13729157557. The next prime is 13729157569. The reversal of 13729157568 is 86575192731.

13729157568 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 9 + 1 + 575 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13729157569) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 31605 + ... + 168692.

It is an arithmetic number, because the mean of its divisors is an integer number (283450284).

Almost surely, 2^13729157568 is an apocalyptic number.

13729157568 is a gapful number since it is divisible by the number (18) 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 13729157568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23809823856).

13729157568 is an abundant number, since it is smaller than the sum of its proper divisors (33890490144).

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

13729157568 is a wasteful number, since it uses less digits than its factorization.

13729157568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200339 (or 200326 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 54.

The spelling of 13729157568 in words is "thirteen billion, seven hundred twenty-nine million, one hundred fifty-seven thousand, five hundred sixty-eight".