11023283137689 has 27 divisors (see below), whose sum is σ = 16127773495743. Its totient is φ = 7255313997984.

The previous prime is 11023283137663. The next prime is 11023283137703. The reversal of 11023283137689 is 98673138232011.

The square root of 11023283137689 is 3320133.

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

11023283137689 is a `hidden beast` number, since 1 + 1 + 0 + 232 + 8 + 31 + 376 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8693752499289 + 2329530638400 = 2948517^2 + 1526280^2 .

It is not a de Polignac number, because 11023283137689 - 2⁹ = 11023283137177 is a prime.

It is a super-2 number, since 2×11023283137689² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11023283837689) 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, 786864517 + ... + 786878525.

Almost surely, 2^{11023283137689} is an apocalyptic number.

11023283137689 is the 3320133-rd square number.

11023283137689 is the 1660067-th centered octagonal number.

It is an amenable number.

11023283137689 is a deficient number, since it is larger than the sum of its proper divisors (5104490358054).

11023283137689 is an frugal number, since it uses more digits than its factorization.

11023283137689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28182 (or 14091 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 11023283137689 in words is "eleven trillion, twenty-three billion, two hundred eighty-three million, one hundred thirty-seven thousand, six hundred eighty-nine".