482055471648 has 144 divisors (see below), whose sum is σ = 1406734141176. Its totient is φ = 156492103680.

The previous prime is 482055471641. The next prime is 482055471707. The reversal of 482055471648 is 846174550284.

482055471648 is a `hidden beast` number, since 4 + 8 + 20 + 554 + 7 + 1 + 64 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 382383930384 + 99671541264 = 618372^2 + 315708^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 482055471594 and 482055471603.

It is not an unprimeable number, because it can be changed into a prime (482055471641) 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 in 23 ways as a sum of consecutive naturals, for example, 6777840 + ... + 6848592.

Almost surely, 2^482055471648 is an apocalyptic number.

482055471648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482055471648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703367070588).

482055471648 is an abundant number, since it is smaller than the sum of its proper divisors (924678669528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

482055471648 is a wasteful number, since it uses less digits than its factorization.

482055471648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71387 (or 71376 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 482055471648 in words is "four hundred eighty-two billion, fifty-five million, four hundred seventy-one thousand, six hundred forty-eight".