85744729153 has 2 divisors, whose sum is σ = 85744729154. Its totient is φ = 85744729152.

The previous prime is 85744729141. The next prime is 85744729199. The reversal of 85744729153 is 35192744758.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71940359089 + 13804370064 = 268217^2 + 117492^2 .

It is a cyclic number.

It is not a de Polignac number, because 85744729153 - 2⁵ = 85744729121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85744729094 and 85744729103.

It is not a weakly prime, because it can be changed into another prime (85744729453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42872364576 + 42872364577.

It is an arithmetic number, because the mean of its divisors is an integer number (42872364577).

Almost surely, 2^85744729153 is an apocalyptic number.

It is an amenable number.

85744729153 is a deficient number, since it is larger than the sum of its proper divisors (1).

85744729153 is an equidigital number, since it uses as much as digits as its factorization.

85744729153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8467200, while the sum is 55.

The spelling of 85744729153 in words is "eighty-five billion, seven hundred forty-four million, seven hundred twenty-nine thousand, one hundred fifty-three".