8000008000002 has 18 divisors (see below), whose sum is σ = 17333376666723. Its totient is φ = 2666665333332.

The previous prime is 8000008000001. The next prime is 8000008000013. The reversal of 8000008000002 is 2000008000008.

It can be written as a sum of positive squares in only one way, i.e., 4000004000001 + 4000004000001 = 2000001^2 + 2000001^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2000001.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 8 ways as a sum of consecutive naturals, for example, 11666673 + ... + 12333339.

Almost surely, 2^{8000008000002} is an apocalyptic number.

8000008000002 is an abundant number, since it is smaller than the sum of its proper divisors (9333368666721).

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

8000008000002 is an frugal number, since it uses more digits than its factorization.

8000008000002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333342 (or 666672 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Multiplying 8000008000002 by its sum of digits (18), we get a square (144000144000036 = 12000006²).

8000008000002 divided by its sum of digits (18) gives a square (444444888889 = 666667²).

The spelling of 8000008000002 in words is "eight trillion, eight million, two", and thus it is an aban number and an uban number.