16311622611361 has 24 divisors (see below), whose sum is σ = 21695964756480. Its totient is φ = 11962687313280.

The previous prime is 16311622611241. The next prime is 16311622611377.

It is a happy number.

16311622611361 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 16311622611361 - 2¹⁹ = 16311622087073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16311622611761) 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 23 ways as a sum of consecutive naturals, for example, 566400721 + ... + 566429518.

It is an arithmetic number, because the mean of its divisors is an integer number (903998531520).

Almost surely, 2^{16311622611361} is an apocalyptic number.

16311622611361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16311622611361 is a deficient number, since it is larger than the sum of its proper divisors (5384342145119).

16311622611361 is a wasteful number, since it uses less digits than its factorization.

16311622611361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132830285 (or 1132830274 counting only the distinct ones).

The product of its digits is 46656, while the sum is 40.

The spelling of 16311622611361 in words is "sixteen trillion, three hundred eleven billion, six hundred twenty-two million, six hundred eleven thousand, three hundred sixty-one".