636345054544241 has 24 divisors (see below), whose sum is σ = 741668168065320. Its totient is φ = 544385786515200.

The previous prime is 636345054544223. The next prime is 636345054544261. The reversal of 636345054544241 is 142445450543636.

It can be written as a sum of positive squares in 4 ways, for example, as 1059129139600 + 635285925404641 = 1029140^2 + 25204879^2 .

It is not a de Polignac number, because 636345054544241 - 2¹⁰ = 636345054543217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (636345054544261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55181675 + ... + 65709263.

It is an arithmetic number, because the mean of its divisors is an integer number (30902840336055).

Almost surely, 2^{636345054544241} is an apocalyptic number.

It is an amenable number.

636345054544241 is a deficient number, since it is larger than the sum of its proper divisors (105323113521079).

636345054544241 is a wasteful number, since it uses less digits than its factorization.

636345054544241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10529985 (or 10529978 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 56.

The spelling of 636345054544241 in words is "six hundred thirty-six trillion, three hundred forty-five billion, fifty-four million, five hundred forty-four thousand, two hundred forty-one".