36294441121 has 9 divisors (see below), whose sum is σ = 36931465011. Its totient is φ = 35668231464.

The previous prime is 36294441119. The next prime is 36294441133. The reversal of 36294441121 is 12114449263.

The square root of 36294441121 is 190511.

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., 10917951121 + 25376490000 = 104489^2 + 159300^2 .

It is not a de Polignac number, because 36294441121 - 2¹ = 36294441119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36294441221) 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, 11238535 + ... + 11241763.

Almost surely, 2^36294441121 is an apocalyptic number.

36294441121 is the 190511-st square number.

36294441121 is the 95256-th centered octagonal number.

It is an amenable number.

36294441121 is a deficient number, since it is larger than the sum of its proper divisors (637023890).

36294441121 is an frugal number, since it uses more digits than its factorization.

36294441121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6576 (or 3288 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The spelling of 36294441121 in words is "thirty-six billion, two hundred ninety-four million, four hundred forty-one thousand, one hundred twenty-one".