481318717824 has 768 divisors, whose sum is σ = 1729740480000. Its totient is φ = 128024064000.

The previous prime is 481318717819. The next prime is 481318717849. The reversal of 481318717824 is 428717813184.

It is a happy number.

481318717824 is a `hidden beast` number, since 481 + 3 + 1 + 8 + 71 + 78 + 24 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 457962099 + ... + 457963149.

It is an arithmetic number, because the mean of its divisors is an integer number (2252266250).

Almost surely, 2^481318717824 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 481318717824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864870240000).

481318717824 is an abundant number, since it is smaller than the sum of its proper divisors (1248421762176).

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

481318717824 is a wasteful number, since it uses less digits than its factorization.

481318717824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1143 counting only the distinct ones).

The product of its digits is 2408448, while the sum is 54.

The spelling of 481318717824 in words is "four hundred eighty-one billion, three hundred eighteen million, seven hundred seventeen thousand, eight hundred twenty-four".