484413261002577 has 48 divisors (see below), whose sum is σ = 724547294827200. Its totient is φ = 311499938682240.

The previous prime is 484413261002557. The next prime is 484413261002639. The reversal of 484413261002577 is 775200162314484.

484413261002577 is a `hidden beast` number, since 4 + 8 + 4 + 4 + 1 + 3 + 2 + 61 + 0 + 0 + 2 + 577 = 666.

It is not a de Polignac number, because 484413261002577 - 2²⁷ = 484413126784849 is a prime.

It is a super-3 number, since 3×484413261002577³ (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (484413261002557) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1128735478 + ... + 1129164560.

It is an arithmetic number, because the mean of its divisors is an integer number (15094735308900).

Almost surely, 2^{484413261002577} is an apocalyptic number.

It is an amenable number.

484413261002577 is a deficient number, since it is larger than the sum of its proper divisors (240134033824623).

484413261002577 is a wasteful number, since it uses less digits than its factorization.

484413261002577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433358 (or 433355 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 484413261002577 in words is "four hundred eighty-four trillion, four hundred thirteen billion, two hundred sixty-one million, two thousand, five hundred seventy-seven".