85172336649 has 33 divisors (see below), whose sum is σ = 127864248519. Its totient is φ = 56734279200.

The previous prime is 85172336617. The next prime is 85172336657. The reversal of 85172336649 is 94663327158.

The square root of 85172336649 is 291843.

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

85172336649 is a `hidden beast` number, since 8 + 517 + 23 + 3 + 66 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 141776649 + 85030560000 = 11907^2 + 291600^2 .

It is not a de Polignac number, because 85172336649 - 2⁵ = 85172336617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85172336595 and 85172336604.

It is not an unprimeable number, because it can be changed into a prime (85172356649) 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 in 32 ways as a sum of consecutive naturals, for example, 70917249 + ... + 70918449.

Almost surely, 2^85172336649 is an apocalyptic number.

85172336649 is the 291843-rd square number.

85172336649 is the 145922-nd centered octagonal number.

It is an amenable number.

85172336649 is a deficient number, since it is larger than the sum of its proper divisors (42691911870).

85172336649 is an frugal number, since it uses more digits than its factorization.

85172336649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 1204 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

It can be divided in two parts, 85172 and 336649, that added together give a triangular number (421821 = T₉₁₈).

The spelling of 85172336649 in words is "eighty-five billion, one hundred seventy-two million, three hundred thirty-six thousand, six hundred forty-nine".