61118222841 has 45 divisors (see below), whose sum is σ = 98910190269. Its totient is φ = 37593414144.

The previous prime is 61118222833. The next prime is 61118222917. The reversal of 61118222841 is 14822281116.

The square root of 61118222841 is 247221.

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

61118222841 is a `hidden beast` number, since 611 + 18 + 2 + 2 + 28 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50701979241 + 10416243600 = 225171^2 + 102060^2 .

It is not a de Polignac number, because 61118222841 - 2³ = 61118222833 is a prime.

It is a super-2 number, since 2×61118222841² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61118222796 and 61118222805.

It is not an unprimeable number, because it can be changed into a prime (61118222821) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 28923801 + ... + 28925913.

Almost surely, 2^61118222841 is an apocalyptic number.

61118222841 is the 247221-st square number.

61118222841 is the 123611-st centered octagonal number.

It is an amenable number.

61118222841 is a deficient number, since it is larger than the sum of its proper divisors (37791967428).

61118222841 is an frugal number, since it uses more digits than its factorization.

With its predecessor (61118222840) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (2129).

61118222841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4264 (or 2129 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

Multiplying 61118222841 by its sum of digits (36), we get a square (2200256022276 = 1483326²).

The spelling of 61118222841 in words is "sixty-one billion, one hundred eighteen million, two hundred twenty-two thousand, eight hundred forty-one".