86541621064729 has 2 divisors, whose sum is σ = 86541621064730. Its totient is φ = 86541621064728.

The previous prime is 86541621064673. The next prime is 86541621064741. The reversal of 86541621064729 is 92746012614568.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83783779609104 + 2757841455625 = 9153348^2 + 1660675^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-86541621064729 is a prime.

It is a super-2 number, since 2×86541621064729² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (86541621061729) 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, 43270810532364 + 43270810532365.

It is an arithmetic number, because the mean of its divisors is an integer number (43270810532365).

Almost surely, 2^{86541621064729} is an apocalyptic number.

It is an amenable number.

86541621064729 is a deficient number, since it is larger than the sum of its proper divisors (1).

86541621064729 is an equidigital number, since it uses as much as digits as its factorization.

86541621064729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34836480, while the sum is 61.

The spelling of 86541621064729 in words is "eighty-six trillion, five hundred forty-one billion, six hundred twenty-one million, sixty-four thousand, seven hundred twenty-nine".