36135379035441 has 225 divisors, whose sum is σ = 64675498304571. Its totient is φ = 20104960355424.

The previous prime is 36135379035439. The next prime is 36135379035487. The reversal of 36135379035441 is 14453097353163.

The square root of 36135379035441 is 6011271.

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

36135379035441 is a `hidden beast` number, since 3 + 6 + 1 + 3 + 5 + 3 + 7 + 90 + 3 + 544 + 1 = 666.

36135379035441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2022723950625 + 34112655084816 = 1422225^2 + 5840604^2 .

It is not a de Polignac number, because 36135379035441 - 2¹ = 36135379035439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (36135379035241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 113991731815 + ... + 113991732131.

Almost surely, 2^{36135379035441} is an apocalyptic number.

36135379035441 is the 6011271-st square number.

36135379035441 is the 3005636-th centered octagonal number.

It is an amenable number.

36135379035441 is a deficient number, since it is larger than the sum of its proper divisors (28540119269130).

36135379035441 is an frugal number, since it uses more digits than its factorization.

36135379035441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 54.

The spelling of 36135379035441 in words is "thirty-six trillion, one hundred thirty-five billion, three hundred seventy-nine million, thirty-five thousand, four hundred forty-one".