8168806581408 has 240 divisors, whose sum is σ = 26396815848480. Its totient is φ = 2457586137600.

The previous prime is 8168806581407. The next prime is 8168806581421. The reversal of 8168806581408 is 8041856088618.

8168806581408 is a `hidden beast` number, since 8 + 1 + 6 + 8 + 8 + 0 + 6 + 581 + 40 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (8168806581407) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2932578 + ... + 4993758.

It is an arithmetic number, because the mean of its divisors is an integer number (109986732702).

Almost surely, 2^{8168806581408} is an apocalyptic number.

8168806581408 is a gapful number since it is divisible by the number (88) 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 8168806581408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13198407924240).

8168806581408 is an abundant number, since it is smaller than the sum of its proper divisors (18228009267072).

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

8168806581408 is a wasteful number, since it uses less digits than its factorization.

8168806581408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061353 (or 2061336 counting only the distinct ones).

The product of its (nonzero) digits is 23592960, while the sum is 63.

The spelling of 8168806581408 in words is "eight trillion, one hundred sixty-eight billion, eight hundred six million, five hundred eighty-one thousand, four hundred eight".