481565854224 has 540 divisors, whose sum is σ = 1704816103536. Its totient is φ = 126468905472.

The previous prime is 481565854223. The next prime is 481565854241. The reversal of 481565854224 is 422458565184.

481565854224 is a `hidden beast` number, since 4 + 8 + 1 + 56 + 585 + 4 + 2 + 2 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (481565854223) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 337466599 + ... + 337468025.

Almost surely, 2^481565854224 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 481565854224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852408051768).

481565854224 is an abundant number, since it is smaller than the sum of its proper divisors (1223250249312).

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

481565854224 is a wasteful number, since it uses less digits than its factorization.

481565854224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764 (or 1735 counting only the distinct ones).

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

The spelling of 481565854224 in words is "four hundred eighty-one billion, five hundred sixty-five million, eight hundred fifty-four thousand, two hundred twenty-four".