36805168544 has 48 divisors (see below), whose sum is σ = 73721975040. Its totient is φ = 18082414080.

The previous prime is 36805168529. The next prime is 36805168549. The reversal of 36805168544 is 44586150863.

It is a junction number, because it is equal to n+sod(n) for n = 36805168492 and 36805168501.

It is not an unprimeable number, because it can be changed into a prime (36805168549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7324817 + ... + 7329839.

It is an arithmetic number, because the mean of its divisors is an integer number (1535874480).

Almost surely, 2^36805168544 is an apocalyptic number.

It is an amenable number.

36805168544 is an abundant number, since it is smaller than the sum of its proper divisors (36916806496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36805168544 is a wasteful number, since it uses less digits than its factorization.

36805168544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8973 (or 8965 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 50.

The spelling of 36805168544 in words is "thirty-six billion, eight hundred five million, one hundred sixty-eight thousand, five hundred forty-four".