484585516224 has 224 divisors, whose sum is σ = 1488441300480. Its totient is φ = 154306944000.

The previous prime is 484585516211. The next prime is 484585516267. The reversal of 484585516224 is 422615585484.

484585516224 is a `hidden beast` number, since 4 + 8 + 4 + 5 + 8 + 5 + 5 + 1 + 622 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32622399 + ... + 32637249.

Almost surely, 2^484585516224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484585516224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744220650240).

484585516224 is an abundant number, since it is smaller than the sum of its proper divisors (1003855784256).

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

484585516224 is a wasteful number, since it uses less digits than its factorization.

484585516224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15716 (or 15700 counting only the distinct ones).

The product of its digits is 12288000, while the sum is 54.

The spelling of 484585516224 in words is "four hundred eighty-four billion, five hundred eighty-five million, five hundred sixteen thousand, two hundred twenty-four".