16631344313661 has 32 divisors (see below), whose sum is σ = 27757057176576. Its totient is φ = 8605238400000.

The previous prime is 16631344313627. The next prime is 16631344313713.

16631344313661 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 16631344313661 - 2⁷ = 16631344313533 is a prime.

It is a super-2 number, since 2×16631344313661² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 16631344313661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16631344313561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143362660 + ... + 143478621.

It is an arithmetic number, because the mean of its divisors is an integer number (867408036768).

Almost surely, 2^{16631344313661} is an apocalyptic number.

16631344313661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16631344313661 is a deficient number, since it is larger than the sum of its proper divisors (11125712862915).

16631344313661 is a wasteful number, since it uses less digits than its factorization.

16631344313661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286841553.

The product of its digits is 1679616, while the sum is 48.

It can be divided in two parts, 1663134 and 4313661, that added together give a palindrome (5976795).

The spelling of 16631344313661 in words is "sixteen trillion, six hundred thirty-one billion, three hundred forty-four million, three hundred thirteen thousand, six hundred sixty-one".