13729642752 has 144 divisors (see below), whose sum is σ = 41938236032. Its totient is φ = 3906109440.

The previous prime is 13729642741. The next prime is 13729642777. The reversal of 13729642752 is 25724692731.

It is a super-2 number, since 2×13729642752² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1290318 + ... + 1300914.

Almost surely, 2^13729642752 is an apocalyptic number.

13729642752 is a gapful number since it is divisible by the number (12) 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 13729642752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20969118016).

13729642752 is an abundant number, since it is smaller than the sum of its proper divisors (28208593280).

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

13729642752 is a wasteful number, since it uses less digits than its factorization.

13729642752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10864 (or 10850 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 48.

The spelling of 13729642752 in words is "thirteen billion, seven hundred twenty-nine million, six hundred forty-two thousand, seven hundred fifty-two".