85456118801 has 2 divisors, whose sum is σ = 85456118802. Its totient is φ = 85456118800.

The previous prime is 85456118717. The next prime is 85456118809. The reversal of 85456118801 is 10881165458.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68959285201 + 16496833600 = 262601^2 + 128440^2 .

It is a cyclic number.

It is not a de Polignac number, because 85456118801 - 2¹⁸ = 85455856657 is a prime.

It is not a weakly prime, because it can be changed into another prime (85456118809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42728059400 + 42728059401.

It is an arithmetic number, because the mean of its divisors is an integer number (42728059401).

Almost surely, 2^85456118801 is an apocalyptic number.

It is an amenable number.

85456118801 is a deficient number, since it is larger than the sum of its proper divisors (1).

85456118801 is an equidigital number, since it uses as much as digits as its factorization.

85456118801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 307200, while the sum is 47.

The spelling of 85456118801 in words is "eighty-five billion, four hundred fifty-six million, one hundred eighteen thousand, eight hundred one".