85458451681 has 2 divisors, whose sum is σ = 85458451682. Its totient is φ = 85458451680.

The previous prime is 85458451649. The next prime is 85458451691. The reversal of 85458451681 is 18615485458.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70097328081 + 15361123600 = 264759^2 + 123940^2 .

It is a cyclic number.

It is not a de Polignac number, because 85458451681 - 2⁵ = 85458451649 is a prime.

It is a super-3 number, since 3×85458451681³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (85458451621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42729225840 + 42729225841.

It is an arithmetic number, because the mean of its divisors is an integer number (42729225841).

Almost surely, 2^85458451681 is an apocalyptic number.

It is an amenable number.

85458451681 is a deficient number, since it is larger than the sum of its proper divisors (1).

85458451681 is an equidigital number, since it uses as much as digits as its factorization.

85458451681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6144000, while the sum is 55.

The spelling of 85458451681 in words is "eighty-five billion, four hundred fifty-eight million, four hundred fifty-one thousand, six hundred eighty-one".