8000008000008 has 64 divisors (see below), whose sum is σ = 21053116128000. Its totient is φ = 2526262696512.

The previous prime is 8000008000001. The next prime is 8000008000013.

It is a happy number.

8000008000008 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

8000008000008 is a strobogrammatic number because it is the same when read upside-down.

8000008000008 is a modest number, since divided by 8000008 gives 8 as remainder.

It is not an unprimeable number, because it can be changed into a prime (8000008000001) by changing a digit.

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, 23809191 + ... + 24142857.

It is an arithmetic number, because the mean of its divisors is an integer number (328954939500).

Almost surely, 2^{8000008000008} is an apocalyptic number.

It is an amenable number.

8000008000008 is an abundant number, since it is smaller than the sum of its proper divisors (13053108127992).

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

8000008000008 is a wasteful number, since it uses less digits than its factorization.

8000008000008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386274 (or 386270 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The spelling of 8000008000008 in words is "eight trillion, eight million, eight", and thus it is an aban number and an uban number.