8517099417649 has 9 divisors (see below), whose sum is σ = 9047628901291. Its totient is φ = 8016046875040.

The previous prime is 8517099417647. The next prime is 8517099417667. The reversal of 8517099417649 is 9467149907158.

The square root of 8517099417649 is 2918407.

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., 6630959754225 + 1886139663424 = 2575065^2 + 1373368^2 .

It is not a de Polignac number, because 8517099417649 - 2¹ = 8517099417647 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8517099417647) 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, 49527084 + ... + 49698754.

Almost surely, 2^{8517099417649} is an apocalyptic number.

8517099417649 is the 2918407-th square number.

8517099417649 is the 1459204-th centered octagonal number.

It is an amenable number.

8517099417649 is a deficient number, since it is larger than the sum of its proper divisors (530529483642).

8517099417649 is an frugal number, since it uses more digits than its factorization.

8517099417649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343376 (or 171688 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 70.

The spelling of 8517099417649 in words is "eight trillion, five hundred seventeen billion, ninety-nine million, four hundred seventeen thousand, six hundred forty-nine".