481730521529088 has 900 divisors, whose sum is σ = 1563258175767288. Its totient is φ = 147546341130240.

The previous prime is 481730521529083. The next prime is 481730521529129. The reversal of 481730521529088 is 880925125037184.

481730521529088 is a `hidden beast` number, since 4 + 8 + 1 + 7 + 3 + 0 + 5 + 21 + 529 + 0 + 88 = 666.

It is a super-2 number, since 2×481730521529088² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (481730521529083) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 137992127023 + ... + 137992130513.

Almost surely, 2^{481730521529088} is an apocalyptic number.

481730521529088 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 481730521529088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781629087883644).

481730521529088 is an abundant number, since it is smaller than the sum of its proper divisors (1081527654238200).

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

481730521529088 is an frugal number, since it uses more digits than its factorization.

481730521529088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3804 (or 3742 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 481730521529088 in words is "four hundred eighty-one trillion, seven hundred thirty billion, five hundred twenty-one million, five hundred twenty-nine thousand, eighty-eight".