85765222449 has 81 divisors (see below), whose sum is σ = 132770988441. Its totient is φ = 53346831120.

The previous prime is 85765222429. The next prime is 85765222481. The reversal of 85765222449 is 94422256758.

The square root of 85765222449 is 292857.

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

85765222449 is a `hidden beast` number, since 8 + 5 + 76 + 522 + 2 + 4 + 49 = 666.

It is not a de Polignac number, because 85765222449 - 2⁷ = 85765222321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85765222395 and 85765222404.

It is not an unprimeable number, because it can be changed into a prime (85765222429) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1280077914 + ... + 1280077980.

Almost surely, 2^85765222449 is an apocalyptic number.

85765222449 is the 292857-th square number.

85765222449 is the 146429-th centered octagonal number.

It is an amenable number.

85765222449 is a deficient number, since it is larger than the sum of its proper divisors (47005765992).

85765222449 is an equidigital number, since it uses as much as digits as its factorization.

85765222449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 148 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 85765222449 in words is "eighty-five billion, seven hundred sixty-five million, two hundred twenty-two thousand, four hundred forty-nine".