36006319084104 has 48 divisors (see below), whose sum is σ = 97828670522700. Its totient is φ = 11963760966144.

The previous prime is 36006319084103. The next prime is 36006319084193. The reversal of 36006319084104 is 40148091360063.

36006319084104 is a `hidden beast` number, since 3 + 6 + 0 + 0 + 631 + 9 + 0 + 8 + 4 + 1 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24721758521604 + 11284560562500 = 4972098^2 + 3359250^2 .

It is a super-3 number, since 3×36006319084104³ (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 36006319084104.

It is not an unprimeable number, because it can be changed into a prime (36006319084103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 798839709 + ... + 798884780.

Almost surely, 2^{36006319084104} is an apocalyptic number.

It is an amenable number.

36006319084104 is an abundant number, since it is smaller than the sum of its proper divisors (61822351438596).

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

36006319084104 is a wasteful number, since it uses less digits than its factorization.

36006319084104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597724814 (or 1597724807 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 36006319084104 in words is "thirty-six trillion, six billion, three hundred nineteen million, eighty-four thousand, one hundred four".