16772631404161 has 2 divisors, whose sum is σ = 16772631404162. Its totient is φ = 16772631404160.

The previous prime is 16772631404141. The next prime is 16772631404173. The reversal of 16772631404161 is 16140413627761.

16772631404161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14233529380225 + 2539102023936 = 3772735^2 + 1593456^2 .

It is an emirp because it is prime and its reverse (16140413627761) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 16772631404161 - 2⁵ = 16772631404129 is a prime.

It is a super-2 number, since 2×16772631404161² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (16772631404141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8386315702080 + 8386315702081.

It is an arithmetic number, because the mean of its divisors is an integer number (8386315702081).

Almost surely, 2^{16772631404161} is an apocalyptic number.

It is an amenable number.

16772631404161 is a deficient number, since it is larger than the sum of its proper divisors (1).

16772631404161 is an equidigital number, since it uses as much as digits as its factorization.

16772631404161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1016064, while the sum is 49.

The spelling of 16772631404161 in words is "sixteen trillion, seven hundred seventy-two billion, six hundred thirty-one million, four hundred four thousand, one hundred sixty-one".