11867907870289 has 9 divisors (see below), whose sum is σ = 11896995934299. Its totient is φ = 11838890778480.

The previous prime is 11867907870251. The next prime is 11867907870319. The reversal of 11867907870289 is 98207870976811.

The square root of 11867907870289 is 3444983.

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., 1047808140625 + 10820099729664 = 1023625^2 + 3289392^2 .

It is not a de Polignac number, because 11867907870289 - 2⁹ = 11867907869777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11867907820289) 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, 1484783677 + ... + 1484791669.

Almost surely, 2^{11867907870289} is an apocalyptic number.

11867907870289 is the 3444983-rd square number.

11867907870289 is the 1722492-nd centered octagonal number.

It is an amenable number.

11867907870289 is a deficient number, since it is larger than the sum of its proper divisors (29088064010).

11867907870289 is an frugal number, since it uses more digits than its factorization.

11867907870289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16848 (or 8424 counting only the distinct ones).

The product of its (nonzero) digits is 170698752, while the sum is 73.

The spelling of 11867907870289 in words is "eleven trillion, eight hundred sixty-seven billion, nine hundred seven million, eight hundred seventy thousand, two hundred eighty-nine".