85084806249 has 9 divisors (see below), whose sum is σ = 122901539709. Its totient is φ = 56722620780.

The previous prime is 85084806211. The next prime is 85084806271. The reversal of 85084806249 is 94260848058.

The square root of 85084806249 is 291693.

It is a perfect power (a square), and thus also a powerful number.

85084806249 is a `hidden beast` number, since 8 + 5 + 0 + 8 + 4 + 8 + 0 + 624 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 85084806249 - 2⁹ = 85084805737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85084806195 and 85084806204.

It is not an unprimeable number, because it can be changed into a prime (85084806049) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 826464 + ... + 923694.

Almost surely, 2^85084806249 is an apocalyptic number.

85084806249 is the 291693-rd square number.

85084806249 is the 145847-th centered octagonal number.

It is an amenable number.

85084806249 is a deficient number, since it is larger than the sum of its proper divisors (37816733460).

85084806249 is an frugal number, since it uses more digits than its factorization.

85084806249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194468 (or 97234 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 85084806249 in words is "eighty-five billion, eighty-four million, eight hundred six thousand, two hundred forty-nine".