481308787613457 has 80 divisors (see below), whose sum is σ = 772462318787280. Its totient is φ = 297594905223168.

The previous prime is 481308787613449. The next prime is 481308787613473. The reversal of 481308787613457 is 754316787803184.

481308787613457 is a `hidden beast` number, since 4 + 8 + 1 + 3 + 0 + 87 + 87 + 6 + 13 + 457 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1768689866241 + 479540097747216 = 1329921^2 + 21898404^2 .

It is not a de Polignac number, because 481308787613457 - 2³ = 481308787613449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (481308787613477) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17979019 + ... + 35858927.

It is an arithmetic number, because the mean of its divisors is an integer number (9655778984841).

Almost surely, 2^{481308787613457} is an apocalyptic number.

It is an amenable number.

481308787613457 is a deficient number, since it is larger than the sum of its proper divisors (291153531173823).

481308787613457 is a wasteful number, since it uses less digits than its factorization.

481308787613457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17880224 (or 17880215 counting only the distinct ones).

The product of its (nonzero) digits is 758661120, while the sum is 72.

The spelling of 481308787613457 in words is "four hundred eighty-one trillion, three hundred eight billion, seven hundred eighty-seven million, six hundred thirteen thousand, four hundred fifty-seven".