9786304686249 has 135 divisors (see below), whose sum is σ = 17867767375653. Its totient is φ = 5158853534016.

The previous prime is 9786304686239. The next prime is 9786304686253. The reversal of 9786304686249 is 9426864036879.

The square root of 9786304686249 is 3128307.

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

9786304686249 is a `hidden beast` number, since 9 + 7 + 8 + 63 + 0 + 468 + 62 + 49 = 666.

9786304686249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6938445932649 + 2847858753600 = 2634093^2 + 1687560^2 .

It is not a de Polignac number, because 9786304686249 - 2³¹ = 9784157202601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9786304686239) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5978193859 + ... + 5978195495.

Almost surely, 2^{9786304686249} is an apocalyptic number.

9786304686249 is the 3128307-th square number.

9786304686249 is the 1564154-th centered octagonal number.

It is an amenable number.

9786304686249 is a deficient number, since it is larger than the sum of its proper divisors (8081462689404).

9786304686249 is an frugal number, since it uses more digits than its factorization.

9786304686249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 9786304686249 in words is "nine trillion, seven hundred eighty-six billion, three hundred four million, six hundred eighty-six thousand, two hundred forty-nine".