8481804729600 has 216 divisors, whose sum is σ = 28006341041952. Its totient is φ = 2260633395200.

The previous prime is 8481804729569. The next prime is 8481804729613. The reversal of 8481804729600 is 69274081848.

It is a super-2 number, since 2×8481804729600² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36960814 + ... + 37189586.

Almost surely, 2^{8481804729600} is an apocalyptic number.

8481804729600 is a gapful number since it is divisible by the number (80) 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 8481804729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14003170520976).

8481804729600 is an abundant number, since it is smaller than the sum of its proper divisors (19524536312352).

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

8481804729600 is a wasteful number, since it uses less digits than its factorization.

8481804729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230733 (or 230714 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 57.

The spelling of 8481804729600 in words is "eight trillion, four hundred eighty-one billion, eight hundred four million, seven hundred twenty-nine thousand, six hundred".