16772742104681 has 2 divisors, whose sum is σ = 16772742104682. Its totient is φ = 16772742104680.

The previous prime is 16772742104641. The next prime is 16772742104683. The reversal of 16772742104681 is 18640124727761.

It is a happy number.

16772742104681 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., 15519817830400 + 1252924274281 = 3939520^2 + 1119341^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-16772742104681 is a prime.

It is a super-2 number, since 2×16772742104681² (a number of 27 digits) contains 22 as substring.

Together with 16772742104683, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (16772742104683) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8386371052340 + 8386371052341.

It is an arithmetic number, because the mean of its divisors is an integer number (8386371052341).

Almost surely, 2^{16772742104681} is an apocalyptic number.

It is an amenable number.

16772742104681 is a deficient number, since it is larger than the sum of its proper divisors (1).

16772742104681 is an equidigital number, since it uses as much as digits as its factorization.

16772742104681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6322176, while the sum is 56.

The spelling of 16772742104681 in words is "sixteen trillion, seven hundred seventy-two billion, seven hundred forty-two million, one hundred four thousand, six hundred eighty-one".