11667672289 has 27 divisors (see below), whose sum is σ = 14709347667. Its totient is φ = 9223787664.

The previous prime is 11667672287. The next prime is 11667672307. The reversal of 11667672289 is 98227676611.

The square root of 11667672289 is 108017.

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., 1725987025 + 9941685264 = 41545^2 + 99708^2 .

It is not a de Polignac number, because 11667672289 - 2¹ = 11667672287 is a prime.

It is a super-2 number, since 2×11667672289² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11667672287) 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, 9828954 + ... + 9830140.

Almost surely, 2^11667672289 is an apocalyptic number.

11667672289 is the 108017-th square number.

11667672289 is the 54009-th centered octagonal number.

It is an amenable number.

11667672289 is a deficient number, since it is larger than the sum of its proper divisors (3041675378).

11667672289 is an frugal number, since it uses more digits than its factorization.

11667672289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414 (or 1207 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 55.

The spelling of 11667672289 in words is "eleven billion, six hundred sixty-seven million, six hundred seventy-two thousand, two hundred eighty-nine".