8485609782049 has 27 divisors (see below), whose sum is σ = 8738945926617. Its totient is φ = 8239568471808.

The previous prime is 8485609782011. The next prime is 8485609782233. The reversal of 8485609782049 is 9402879065848.

The square root of 8485609782049 is 2913007.

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

It can be written as a sum of positive squares in 4 ways, for example, as 681788747025 + 7803821035024 = 825705^2 + 2793532^2 .

It is not a de Polignac number, because 8485609782049 - 2²³ = 8485601393441 is a prime.

It is a super-3 number, since 3×8485609782049³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8485609782449) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16671138807 + ... + 16671139315.

Almost surely, 2^{8485609782049} is an apocalyptic number.

8485609782049 is the 2913007-th square number.

8485609782049 is the 1456504-th centered octagonal number.

It is an amenable number.

8485609782049 is a deficient number, since it is larger than the sum of its proper divisors (253336144568).

8485609782049 is an frugal number, since it uses more digits than its factorization.

8485609782049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 70.

The spelling of 8485609782049 in words is "eight trillion, four hundred eighty-five billion, six hundred nine million, seven hundred eighty-two thousand, forty-nine".