36003366330063 has 128 divisors (see below), whose sum is σ = 59738912391168. Its totient is φ = 19006099200000.

The previous prime is 36003366329911. The next prime is 36003366330077.

36003366330063 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 36003366330063 - 2²⁸ = 36003097894607 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36003366329997 and 36003366330024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36003366334063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3636331413 + ... + 3636341313.

It is an arithmetic number, because the mean of its divisors is an integer number (466710253056).

Almost surely, 2^{36003366330063} is an apocalyptic number.

36003366330063 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

36003366330063 is a deficient number, since it is larger than the sum of its proper divisors (23735546061105).

36003366330063 is a wasteful number, since it uses less digits than its factorization.

36003366330063 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19077.

The product of its (nonzero) digits is 944784, while the sum is 42.

It can be divided in two parts, 3600336 and 6330063, that added together give a palindrome (9930399).

The spelling of 36003366330063 in words is "thirty-six trillion, three billion, three hundred sixty-six million, three hundred thirty thousand, sixty-three".