13729567284 has 72 divisors (see below), whose sum is σ = 37158596160. Its totient is φ = 4375681200.

The previous prime is 13729567279. The next prime is 13729567301. The reversal of 13729567284 is 48276592731.

It is a happy number.

13729567284 is a `hidden beast` number, since 1 + 3 + 72 + 9 + 567 + 2 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 13729567284.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5838709 + ... + 5841059.

Almost surely, 2^13729567284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13729567284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18579298080).

13729567284 is an abundant number, since it is smaller than the sum of its proper divisors (23429028876).

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

13729567284 is an equidigital number, since it uses as much as digits as its factorization.

13729567284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4738 (or 2379 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 13729567284 in words is "thirteen billion, seven hundred twenty-nine million, five hundred sixty-seven thousand, two hundred eighty-four".