8477805772801 has 2 divisors, whose sum is σ = 8477805772802. Its totient is φ = 8477805772800.

The previous prime is 8477805772769. The next prime is 8477805772831. The reversal of 8477805772801 is 1082775087748.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6506657164225 + 1971148608576 = 2550815^2 + 1403976^2 .

It is a cyclic number.

It is not a de Polignac number, because 8477805772801 - 2⁵ = 8477805772769 is a prime.

It is not a weakly prime, because it can be changed into another prime (8477805772831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4238902886400 + 4238902886401.

It is an arithmetic number, because the mean of its divisors is an integer number (4238902886401).

Almost surely, 2^{8477805772801} is an apocalyptic number.

It is an amenable number.

8477805772801 is a deficient number, since it is larger than the sum of its proper divisors (1).

8477805772801 is an equidigital number, since it uses as much as digits as its factorization.

8477805772801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 49172480, while the sum is 64.

The spelling of 8477805772801 in words is "eight trillion, four hundred seventy-seven billion, eight hundred five million, seven hundred seventy-two thousand, eight hundred one".