481601505888 has 216 divisors, whose sum is σ = 1420601783328. Its totient is φ = 154757952000.

The previous prime is 481601505881. The next prime is 481601505943. The reversal of 481601505888 is 888505106184.

481601505888 is a `hidden beast` number, since 4 + 8 + 1 + 6 + 0 + 1 + 50 + 588 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481601505881) 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 35 ways as a sum of consecutive naturals, for example, 75000918 + ... + 75007338.

It is an arithmetic number, because the mean of its divisors is an integer number (6576860108).

Almost surely, 2^481601505888 is an apocalyptic number.

481601505888 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 481601505888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710300891664).

481601505888 is an abundant number, since it is smaller than the sum of its proper divisors (939000277440).

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

481601505888 is a wasteful number, since it uses less digits than its factorization.

481601505888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6770 (or 6728 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 54.

The spelling of 481601505888 in words is "four hundred eighty-one billion, six hundred one million, five hundred five thousand, eight hundred eighty-eight".