16984222248961 has 16 divisors (see below), whose sum is σ = 19334173824000. Its totient is φ = 14768617264720.

The previous prime is 16984222248943. The next prime is 16984222249019.

16984222248961 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 16984222248961 - 2⁹ = 16984222248449 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16984222248893 and 16984222248902.

It is not an unprimeable number, because it can be changed into a prime (16984222248941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13831866 + ... + 15009628.

It is an arithmetic number, because the mean of its divisors is an integer number (1208385864000).

Almost surely, 2^{16984222248961} is an apocalyptic number.

16984222248961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16984222248961 is a deficient number, since it is larger than the sum of its proper divisors (2349951575039).

16984222248961 is a wasteful number, since it uses less digits than its factorization.

16984222248961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234796.

The product of its digits is 47775744, while the sum is 64.

The spelling of 16984222248961 in words is "sixteen trillion, nine hundred eighty-four billion, two hundred twenty-two million, two hundred forty-eight thousand, nine hundred sixty-one".