3563405386218 has 72 divisors (see below), whose sum is σ = 8071828897860. Its totient is φ = 1136040111360.

The previous prime is 3563405386207. The next prime is 3563405386237. The reversal of 3563405386218 is 8126835043653.

3563405386218 is a `hidden beast` number, since 3 + 5 + 6 + 3 + 4 + 0 + 5 + 3 + 8 + 621 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3542349344769 + 21056041449 = 1882113^2 + 145107^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165567298 + ... + 165588818.

Almost surely, 2^{3563405386218} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3563405386218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4035914448930).

3563405386218 is an abundant number, since it is smaller than the sum of its proper divisors (4508423511642).

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

3563405386218 is a wasteful number, since it uses less digits than its factorization.

3563405386218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38964 (or 38938 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 3563405386218 in words is "three trillion, five hundred sixty-three billion, four hundred five million, three hundred eighty-six thousand, two hundred eighteen".