13624216216 has 48 divisors (see below), whose sum is σ = 27860981400. Its totient is φ = 6242775552.

The previous prime is 13624216213. The next prime is 13624216241. The reversal of 13624216216 is 61261242631.

13624216216 is a modest number, since divided by 216216 gives 13624 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13624216213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151680 + ... + 224176.

Almost surely, 2^13624216216 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 13624216216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13930490700).

13624216216 is an abundant number, since it is smaller than the sum of its proper divisors (14236765184).

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

13624216216 is a wasteful number, since it uses less digits than its factorization.

13624216216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72668 (or 72651 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

Adding to 13624216216 its reverse (61261242631), we get a palindrome (74885458847).

The spelling of 13624216216 in words is "thirteen billion, six hundred twenty-four million, two hundred sixteen thousand, two hundred sixteen".