110711249289 has 27 divisors (see below), whose sum is σ = 161018126503. Its totient is φ = 73302410832.

The previous prime is 110711249267. The next prime is 110711249329. The reversal of 110711249289 is 982942117011.

The square root of 110711249289 is 332733.

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

110711249289 is a `hidden beast` number, since 1 + 1 + 0 + 71 + 12 + 492 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 108474716025 + 2236533264 = 329355^2 + 47292^2 .

It is not a de Polignac number, because 110711249289 - 2³³ = 102121314697 is a prime.

It is a super-2 number, since 2×110711249289² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (110711249219) 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, 196644922 + ... + 196645484.

Almost surely, 2^110711249289 is an apocalyptic number.

110711249289 is the 332733-rd square number.

110711249289 is the 166367-th centered octagonal number.

It is an amenable number.

110711249289 is a deficient number, since it is larger than the sum of its proper divisors (50306877214).

110711249289 is an frugal number, since it uses more digits than its factorization.

110711249289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

It can be divided in two parts, 110711 and 249289, that added together give a square (360000 = 600²).

The spelling of 110711249289 in words is "one hundred ten billion, seven hundred eleven million, two hundred forty-nine thousand, two hundred eighty-nine".