16847967905 has 16 divisors (see below), whose sum is σ = 20266113168. Its totient is φ = 13446048000.

The previous prime is 16847967887. The next prime is 16847967923. The reversal of 16847967905 is 50976974861.

It is an interprime number because it is at equal distance from previous prime (16847967887) and next prime (16847967923).

It can be written as a sum of positive squares in 8 ways, for example, as 966289 + 16847001616 = 983^2 + 129796^2 .

It is not a de Polignac number, because 16847967905 - 2⁶ = 16847967841 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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, 7074815 + ... + 7077195.

It is an arithmetic number, because the mean of its divisors is an integer number (1266632073).

Almost surely, 2^16847967905 is an apocalyptic number.

It is an amenable number.

16847967905 is a deficient number, since it is larger than the sum of its proper divisors (3418145263).

16847967905 is a wasteful number, since it uses less digits than its factorization.

16847967905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5188.

The product of its (nonzero) digits is 22861440, while the sum is 62.

The spelling of 16847967905 in words is "sixteen billion, eight hundred forty-seven million, nine hundred sixty-seven thousand, nine hundred five".