13352871168 has 864 divisors, whose sum is σ = 51708948480. Its totient is φ = 3321077760.

The previous prime is 13352871151. The next prime is 13352871199. The reversal of 13352871168 is 86117825331.

It is a happy number.

13352871168 is a `hidden beast` number, since 1 + 3 + 3 + 528 + 7 + 116 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 188068573 + ... + 188068643.

It is an arithmetic number, because the mean of its divisors is an integer number (59848320).

Almost surely, 2^13352871168 is an apocalyptic number.

13352871168 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 13352871168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25854474240).

13352871168 is an abundant number, since it is smaller than the sum of its proper divisors (38356077312).

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

13352871168 is a wasteful number, since it uses less digits than its factorization.

13352871168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 119 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 13352871168 in words is "thirteen billion, three hundred fifty-two million, eight hundred seventy-one thousand, one hundred sixty-eight".