13566808008 has 192 divisors, whose sum is σ = 40971840000. Its totient is φ = 4027345920.

The previous prime is 13566807979. The next prime is 13566808063. The reversal of 13566808008 is 80080866531.

13566808008 is a `hidden beast` number, since 1 + 3 + 566 + 8 + 0 + 80 + 0 + 8 = 666.

It is a super-3 number, since 3×13566808008³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14478516 + ... + 14479452.

It is an arithmetic number, because the mean of its divisors is an integer number (213395000).

Almost surely, 2^13566808008 is an apocalyptic number.

13566808008 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 13566808008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20485920000).

13566808008 is an abundant number, since it is smaller than the sum of its proper divisors (27405031992).

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

13566808008 is a wasteful number, since it uses less digits than its factorization.

13566808008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 13566808008 in words is "thirteen billion, five hundred sixty-six million, eight hundred eight thousand, eight".