363612216363 has 32 divisors (see below), whose sum is σ = 556433321472. Its totient is φ = 209185401600.

The previous prime is 363612216347. The next prime is 363612216371.

It is a happy number.

363612216363 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 363612216363 - 2⁴ = 363612216347 is a prime.

It is not an unprimeable number, because it can be changed into a prime (363612216763) 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 31 ways as a sum of consecutive naturals, for example, 3581631 + ... + 3681752.

It is an arithmetic number, because the mean of its divisors is an integer number (17388541296).

Almost surely, 2^363612216363 is an apocalyptic number.

363612216363 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

363612216363 is a deficient number, since it is larger than the sum of its proper divisors (192821105109).

363612216363 is a wasteful number, since it uses less digits than its factorization.

363612216363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7263475.

The product of its digits is 419904, while the sum is 42.

It can be divided in two parts, 363612 and 216363, that added together give a palindrome (579975).

The spelling of 363612216363 in words is "three hundred sixty-three billion, six hundred twelve million, two hundred sixteen thousand, three hundred sixty-three".