8167140436001 has 2 divisors, whose sum is σ = 8167140436002. Its totient is φ = 8167140436000.

The previous prime is 8167140435901. The next prime is 8167140436003. The reversal of 8167140436001 is 1006340417618.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7892644078225 + 274496357776 = 2809385^2 + 523924^2 .

It is a cyclic number.

It is not a de Polignac number, because 8167140436001 - 2²² = 8167136241697 is a prime.

Together with 8167140436003, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 8167140436001.

It is not a weakly prime, because it can be changed into another prime (8167140436003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4083570218000 + 4083570218001.

It is an arithmetic number, because the mean of its divisors is an integer number (4083570218001).

Almost surely, 2^{8167140436001} is an apocalyptic number.

It is an amenable number.

8167140436001 is a deficient number, since it is larger than the sum of its proper divisors (1).

8167140436001 is an equidigital number, since it uses as much as digits as its factorization.

8167140436001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96768, while the sum is 41.

The spelling of 8167140436001 in words is "eight trillion, one hundred sixty-seven billion, one hundred forty million, four hundred thirty-six thousand, one".