8000000000001 has 96 divisors (see below), whose sum is σ = 12494362608000. Its totient is φ = 4917127348224.

The previous prime is 7999999999993. The next prime is 8000000000009. The reversal of 8000000000001 is 1000000000008.

It is a Cunningham number, because it is equal to 20000³+1.

It is an interprime number because it is at equal distance from previous prime (7999999999993) and next prime (8000000000009).

It is not a de Polignac number, because 8000000000001 - 2³ = 7999999999993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 7999999999893 and 7999999999902.

It is not an unprimeable number, because it can be changed into a prime (8000000000009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1068229665 + ... + 1068237153.

It is an arithmetic number, because the mean of its divisors is an integer number (130149610500).

Almost surely, 2^{8000000000001} is an apocalyptic number.

It is an amenable number.

8000000000001 is a deficient number, since it is larger than the sum of its proper divisors (4494362607999).

8000000000001 is a wasteful number, since it uses less digits than its factorization.

8000000000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8623 (or 8620 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 8000000000001 its reverse (1000000000008), we get a palindrome (9000000000009).

The spelling of 8000000000001 in words is "eight trillion, one", and thus it is an aban number and an uban number.