13667685408 has 144 divisors (see below), whose sum is σ = 42160023360. Its totient is φ = 4175027712.

The previous prime is 13667685389. The next prime is 13667685419. The reversal of 13667685408 is 80458676631.

13667685408 is a `hidden beast` number, since 1 + 36 + 6 + 7 + 68 + 540 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×13667685408² (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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 507285 + ... + 533547.

It is an arithmetic number, because the mean of its divisors is an integer number (292777940).

Almost surely, 2^13667685408 is an apocalyptic number.

13667685408 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 13667685408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21080011680).

13667685408 is an abundant number, since it is smaller than the sum of its proper divisors (28492337952).

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

13667685408 is a wasteful number, since it uses less digits than its factorization.

13667685408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26431 (or 26420 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 13667685408 in words is "thirteen billion, six hundred sixty-seven million, six hundred eighty-five thousand, four hundred eight".