36864858838081 has 2 divisors, whose sum is σ = 36864858838082. Its totient is φ = 36864858838080.

The previous prime is 36864858838079. The next prime is 36864858838111. The reversal of 36864858838081 is 18083885846863.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28505358799681 + 8359500038400 = 5339041^2 + 2891280^2 .

It is an emirp because it is prime and its reverse (18083885846863) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36864858838081 - 2¹ = 36864858838079 is a prime.

It is a super-2 number, since 2×36864858838081² (a number of 28 digits) contains 22 as substring.

Together with 36864858838079, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 36864858837989 and 36864858838007.

It is not a weakly prime, because it can be changed into another prime (36864858838001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18432429419040 + 18432429419041.

It is an arithmetic number, because the mean of its divisors is an integer number (18432429419041).

Almost surely, 2^{36864858838081} is an apocalyptic number.

It is an amenable number.

36864858838081 is a deficient number, since it is larger than the sum of its proper divisors (1).

36864858838081 is an equidigital number, since it uses as much as digits as its factorization.

36864858838081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1698693120, while the sum is 76.

The spelling of 36864858838081 in words is "thirty-six trillion, eight hundred sixty-four billion, eight hundred fifty-eight million, eight hundred thirty-eight thousand, eighty-one".