16408956961 has 2 divisors, whose sum is σ = 16408956962. Its totient is φ = 16408956960.

The previous prime is 16408956943. The next prime is 16408956973. The reversal of 16408956961 is 16965980461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14968299025 + 1440657936 = 122345^2 + 37956^2 .

It is a cyclic number.

It is not a de Polignac number, because 16408956961 - 2⁹ = 16408956449 is a prime.

It is not a weakly prime, because it can be changed into another prime (16408956911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8204478480 + 8204478481.

It is an arithmetic number, because the mean of its divisors is an integer number (8204478481).

Almost surely, 2^16408956961 is an apocalyptic number.

It is an amenable number.

16408956961 is a deficient number, since it is larger than the sum of its proper divisors (1).

16408956961 is an equidigital number, since it uses as much as digits as its factorization.

16408956961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2799360, while the sum is 55.

The spelling of 16408956961 in words is "sixteen billion, four hundred eight million, nine hundred fifty-six thousand, nine hundred sixty-one".