472777746046577 has 2 divisors, whose sum is σ = 472777746046578. Its totient is φ = 472777746046576.

The previous prime is 472777746046519. The next prime is 472777746046579. The reversal of 472777746046577 is 775640647777274.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 373500614954896 + 99277131091681 = 19326164^2 + 9963791^2 .

It is a cyclic number.

It is not a de Polignac number, because 472777746046577 - 2¹⁸ = 472777745784433 is a prime.

Together with 472777746046579, 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 (472777746046579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 236388873023288 + 236388873023289.

It is an arithmetic number, because the mean of its divisors is an integer number (236388873023289).

Almost surely, 2^{472777746046577} is an apocalyptic number.

It is an amenable number.

472777746046577 is a deficient number, since it is larger than the sum of its proper divisors (1).

472777746046577 is an equidigital number, since it uses as much as digits as its factorization.

472777746046577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18974430720, while the sum is 80.

The spelling of 472777746046577 in words is "four hundred seventy-two trillion, seven hundred seventy-seven billion, seven hundred forty-six million, forty-six thousand, five hundred seventy-seven".