809145377577 has 6 divisors (see below), whose sum is σ = 1168765545402. Its totient is φ = 539430251712.

The previous prime is 809145377569. The next prime is 809145377617. The reversal of 809145377577 is 775773541908.

809145377577 is a `hidden beast` number, since 8 + 0 + 9 + 1 + 4 + 53 + 7 + 7 + 577 = 666.

It can be written as a sum of positive squares in only one way, i.e., 686737060416 + 122408317161 = 828696^2 + 349869^2 .

It is not a de Polignac number, because 809145377577 - 2³ = 809145377569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (809145377507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44952520968 + ... + 44952520985.

It is an arithmetic number, because the mean of its divisors is an integer number (194794257567).

Almost surely, 2^809145377577 is an apocalyptic number.

It is an amenable number.

809145377577 is a deficient number, since it is larger than the sum of its proper divisors (359620167825).

809145377577 is a wasteful number, since it uses less digits than its factorization.

809145377577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89905041959 (or 89905041956 counting only the distinct ones).

The product of its (nonzero) digits is 51861600, while the sum is 63.

The spelling of 809145377577 in words is "eight hundred nine billion, one hundred forty-five million, three hundred seventy-seven thousand, five hundred seventy-seven".