13271916168 has 144 divisors (see below), whose sum is σ = 43162479360. Its totient is φ = 3669624000.

The previous prime is 13271916143. The next prime is 13271916221. The reversal of 13271916168 is 86161917231.

13271916168 is a `hidden beast` number, since 1 + 3 + 27 + 1 + 9 + 1 + 616 + 8 = 666.

It is a super-2 number, since 2×13271916168² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48693 + ... + 170043.

It is an arithmetic number, because the mean of its divisors is an integer number (299739440).

Almost surely, 2^13271916168 is an apocalyptic number.

13271916168 is a gapful number since it is divisible by the number (18) 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 13271916168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21581239680).

13271916168 is an abundant number, since it is smaller than the sum of its proper divisors (29890563192).

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

13271916168 is a wasteful number, since it uses less digits than its factorization.

13271916168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121408 (or 121394 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The spelling of 13271916168 in words is "thirteen billion, two hundred seventy-one million, nine hundred sixteen thousand, one hundred sixty-eight".