16503633630561 has 16 divisors (see below), whose sum is σ = 27434611749888. Its totient is φ = 8573316171600.

The previous prime is 16503633630557. The next prime is 16503633630637.

16503633630561 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 16503633630561 - 2² = 16503633630557 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 16503633630561.

It is not an unprimeable number, because it can be changed into a prime (16503633630161) 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 15 ways as a sum of consecutive naturals, for example, 35722150485 + ... + 35722150946.

It is an arithmetic number, because the mean of its divisors is an integer number (1714663234368).

Almost surely, 2^{16503633630561} is an apocalyptic number.

16503633630561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16503633630561 is a deficient number, since it is larger than the sum of its proper divisors (10930978119327).

16503633630561 is a wasteful number, since it uses less digits than its factorization.

16503633630561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71444301452.

The product of its (nonzero) digits is 2624400, while the sum is 48.

The spelling of 16503633630561 in words is "sixteen trillion, five hundred three billion, six hundred thirty-three million, six hundred thirty thousand, five hundred sixty-one".