480854184056577 has 6 divisors (see below), whose sum is σ = 694567154748402. Its totient is φ = 320569456037712.

The previous prime is 480854184056573. The next prime is 480854184056633. The reversal of 480854184056577 is 775650481458084.

480854184056577 is a `hidden beast` number, since 4 + 8 + 0 + 8 + 5 + 4 + 1 + 8 + 40 + 5 + 6 + 577 = 666.

It can be written as a sum of positive squares in only one way, i.e., 314388219152016 + 166465964904561 = 17730996^2 + 12902169^2 .

It is not a de Polignac number, because 480854184056577 - 2² = 480854184056573 is a prime.

It is a super-4 number, since 4×480854184056577⁴ (a number of 60 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is not an unprimeable number, because it can be changed into a prime (480854184056573) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26714121336468 + ... + 26714121336485.

It is an arithmetic number, because the mean of its divisors is an integer number (115761192458067).

Almost surely, 2^{480854184056577} is an apocalyptic number.

It is an amenable number.

480854184056577 is a deficient number, since it is larger than the sum of its proper divisors (213712970691825).

480854184056577 is a wasteful number, since it uses less digits than its factorization.

480854184056577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53428242672959 (or 53428242672956 counting only the distinct ones).

The product of its (nonzero) digits is 1204224000, while the sum is 72.

The spelling of 480854184056577 in words is "four hundred eighty trillion, eight hundred fifty-four billion, one hundred eighty-four million, fifty-six thousand, five hundred seventy-seven".