481229605584 has 480 divisors, whose sum is σ = 1714301388800. Its totient is φ = 122589573120.

The previous prime is 481229605561. The next prime is 481229605607. The reversal of 481229605584 is 485506922184.

481229605584 is a `hidden beast` number, since 4 + 8 + 1 + 2 + 29 + 60 + 558 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (481229605561) and next prime (481229605607).

It is a self number, because there is not a number n which added to its sum of digits gives 481229605584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 336758982 + ... + 336760410.

Almost surely, 2^481229605584 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 481229605584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857150694400).

481229605584 is an abundant number, since it is smaller than the sum of its proper divisors (1233071783216).

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

481229605584 is a wasteful number, since it uses less digits than its factorization.

481229605584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 481229605584 in words is "four hundred eighty-one billion, two hundred twenty-nine million, six hundred five thousand, five hundred eighty-four".