85197644286049 has 27 divisors (see below), whose sum is σ = 90490496140947. Its totient is φ = 80202663019728.

The previous prime is 85197644286037. The next prime is 85197644286071. The reversal of 85197644286049 is 94068244679158.

The square root of 85197644286049 is 9230257.

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

It can be written as a sum of positive squares in only one way, i.e., 73885319261649 + 11312325024400 = 8595657^2 + 3363380^2 .

It is not a de Polignac number, because 85197644286049 - 2¹³ = 85197644277857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85197644286649) 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, 29287604007 + ... + 29287606915.

Almost surely, 2^{85197644286049} is an apocalyptic number.

85197644286049 is the 9230257-th square number.

85197644286049 is the 4615129-th centered octagonal number.

It is an amenable number.

85197644286049 is a deficient number, since it is larger than the sum of its proper divisors (5292851854898).

85197644286049 is an frugal number, since it uses more digits than its factorization.

85197644286049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6190 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 73.

The spelling of 85197644286049 in words is "eighty-five trillion, one hundred ninety-seven billion, six hundred forty-four million, two hundred eighty-six thousand, forty-nine".