85744729141 has 2 divisors, whose sum is σ = 85744729142. Its totient is φ = 85744729140.

The previous prime is 85744729121. The next prime is 85744729153. The reversal of 85744729141 is 14192744758.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49519600900 + 36225128241 = 222530^2 + 190329^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85744729141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85744729121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42872364570 + 42872364571.

It is an arithmetic number, because the mean of its divisors is an integer number (42872364571).

Almost surely, 2^85744729141 is an apocalyptic number.

It is an amenable number.

85744729141 is a deficient number, since it is larger than the sum of its proper divisors (1).

85744729141 is an equidigital number, since it uses as much as digits as its factorization.

85744729141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2257920, while the sum is 52.

The spelling of 85744729141 in words is "eighty-five billion, seven hundred forty-four million, seven hundred twenty-nine thousand, one hundred forty-one".