87846661121 has 2 divisors, whose sum is σ = 87846661122. Its totient is φ = 87846661120.

The previous prime is 87846661109. The next prime is 87846661129. The reversal of 87846661121 is 12116664878.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56055771121 + 31790890000 = 236761^2 + 178300^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-87846661121 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 87846661121.

It is not a weakly prime, because it can be changed into another prime (87846661129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43923330560 + 43923330561.

It is an arithmetic number, because the mean of its divisors is an integer number (43923330561).

Almost surely, 2^87846661121 is an apocalyptic number.

It is an amenable number.

87846661121 is a deficient number, since it is larger than the sum of its proper divisors (1).

87846661121 is an equidigital number, since it uses as much as digits as its factorization.

87846661121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 774144, while the sum is 50.

The spelling of 87846661121 in words is "eighty-seven billion, eight hundred forty-six million, six hundred sixty-one thousand, one hundred twenty-one".