6909311902249 has 9 divisors (see below), whose sum is σ = 7339697136741. Its totient is φ = 6502839733440.

The previous prime is 6909311902127. The next prime is 6909311902253. The reversal of 6909311902249 is 9422091139096.

The square root of 6909311902249 is 2628557.

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 2847200643225 + 4062111259024 = 1687365^2 + 2015468^2 .

It is not a de Polignac number, because 6909311902249 - 2²⁵ = 6909278347817 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6909311902249.

It is not an unprimeable number, because it can be changed into a prime (6909311902289) 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, 44608159 + ... + 44762779.

Almost surely, 2^{6909311902249} is an apocalyptic number.

6909311902249 is the 2628557-th square number.

6909311902249 is the 1314279-th centered octagonal number.

It is an amenable number.

6909311902249 is a deficient number, since it is larger than the sum of its proper divisors (430385234492).

6909311902249 is an frugal number, since it uses more digits than its factorization.

6909311902249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309276 (or 154638 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 55.

The spelling of 6909311902249 in words is "six trillion, nine hundred nine billion, three hundred eleven million, nine hundred two thousand, two hundred forty-nine".