13729554432 has 588 divisors, whose sum is σ = 47631606540. Its totient is φ = 3941498880.

The previous prime is 13729554407. The next prime is 13729554439. The reversal of 13729554432 is 23445592731.

It is a happy number.

13729554432 is a `hidden beast` number, since 1 + 3 + 72 + 9 + 5 + 544 + 32 = 666.

Its product of digits (907200) is a multiple of the sum of its prime divisors (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13729554439) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 722608119 + ... + 722608137.

Almost surely, 2^13729554432 is an apocalyptic number.

13729554432 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 13729554432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23815803270).

13729554432 is an abundant number, since it is smaller than the sum of its proper divisors (33902052108).

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

13729554432 is an frugal number, since it uses more digits than its factorization.

13729554432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 35 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 13729554432 in words is "thirteen billion, seven hundred twenty-nine million, five hundred fifty-four thousand, four hundred thirty-two".