13645211216 has 160 divisors (see below), whose sum is σ = 33144545280. Its totient is φ = 5298628608.

The previous prime is 13645211213. The next prime is 13645211249. The reversal of 13645211216 is 61211254631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13645211213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20155070 + ... + 20155746.

It is an arithmetic number, because the mean of its divisors is an integer number (207153408).

Almost surely, 2^13645211216 is an apocalyptic number.

13645211216 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 13645211216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16572272640).

13645211216 is an abundant number, since it is smaller than the sum of its proper divisors (19499334064).

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

13645211216 is a wasteful number, since it uses less digits than its factorization.

13645211216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 935 counting only the distinct ones).

The product of its digits is 8640, while the sum is 32.

Adding to 13645211216 its reverse (61211254631), we get a palindrome (74856465847).

The spelling of 13645211216 in words is "thirteen billion, six hundred forty-five million, two hundred eleven thousand, two hundred sixteen".