13179891816 has 576 divisors, whose sum is σ = 47161033920. Its totient is φ = 3292047360.

The previous prime is 13179891811. The next prime is 13179891827. The reversal of 13179891816 is 61819897131.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13179891811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 80858151 + ... + 80858313.

It is an arithmetic number, because the mean of its divisors is an integer number (81876795).

Almost surely, 2^13179891816 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 13179891816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23580516960).

13179891816 is an abundant number, since it is smaller than the sum of its proper divisors (33981142104).

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

13179891816 is a wasteful number, since it uses less digits than its factorization.

13179891816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 272 counting only the distinct ones).

The product of its digits is 653184, while the sum is 54.

The spelling of 13179891816 in words is "thirteen billion, one hundred seventy-nine million, eight hundred ninety-one thousand, eight hundred sixteen".