13732547852816 has 320 divisors, whose sum is σ = 31291567211520. Its totient is φ = 5783114465280.

The previous prime is 13732547852801. The next prime is 13732547852867. The reversal of 13732547852816 is 61825874523731.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9235068425 + ... + 9235069911.

It is an arithmetic number, because the mean of its divisors is an integer number (97786147536).

Almost surely, 2^{13732547852816} is an apocalyptic number.

13732547852816 is a gapful number since it is divisible by the number (16) 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 13732547852816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15645783605760).

13732547852816 is an abundant number, since it is smaller than the sum of its proper divisors (17559019358704).

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

13732547852816 is a wasteful number, since it uses less digits than its factorization.

13732547852816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 2156 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 62.

The spelling of 13732547852816 in words is "thirteen trillion, seven hundred thirty-two billion, five hundred forty-seven million, eight hundred fifty-two thousand, eight hundred sixteen".