13408623168 has 112 divisors (see below), whose sum is σ = 37572817920. Its totient is φ = 4211311104.

The previous prime is 13408623157. The next prime is 13408623199. The reversal of 13408623168 is 86132680431.

13408623168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13408623168² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273213 + ... + 318531.

Almost surely, 2^13408623168 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 13408623168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18786408960).

13408623168 is an abundant number, since it is smaller than the sum of its proper divisors (24164194752).

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

13408623168 is a wasteful number, since it uses less digits than its factorization.

13408623168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45424 (or 45414 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 13408623168 in words is "thirteen billion, four hundred eight million, six hundred twenty-three thousand, one hundred sixty-eight".