86953584317849 has 2 divisors, whose sum is σ = 86953584317850. Its totient is φ = 86953584317848.

The previous prime is 86953584317701. The next prime is 86953584317863. The reversal of 86953584317849 is 94871348535968.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86055956923225 + 897627394624 = 9276635^2 + 947432^2 .

It is a cyclic number.

It is not a de Polignac number, because 86953584317849 - 2⁴⁰ = 85854072690073 is a prime.

It is not a weakly prime, because it can be changed into another prime (86953584317869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43476792158924 + 43476792158925.

It is an arithmetic number, because the mean of its divisors is an integer number (43476792158925).

Almost surely, 2^{86953584317849} is an apocalyptic number.

It is an amenable number.

86953584317849 is a deficient number, since it is larger than the sum of its proper divisors (1).

86953584317849 is an equidigital number, since it uses as much as digits as its factorization.

86953584317849 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6270566400, while the sum is 80.

The spelling of 86953584317849 in words is "eighty-six trillion, nine hundred fifty-three billion, five hundred eighty-four million, three hundred seventeen thousand, eight hundred forty-nine".