8481388953600 has 1020 divisors, whose sum is σ = 31669953829536. Its totient is φ = 2253104087040.

The previous prime is 8481388953577. The next prime is 8481388953613. The reversal of 8481388953600 is 63598831848.

8481388953600 is a `hidden beast` number, since 8 + 4 + 8 + 13 + 8 + 8 + 9 + 5 + 3 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 32248627069 + ... + 32248627331.

Almost surely, 2^{8481388953600} is an apocalyptic number.

8481388953600 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 8481388953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15834976914768).

8481388953600 is an abundant number, since it is smaller than the sum of its proper divisors (23188564875936).

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

8481388953600 is an frugal number, since it uses more digits than its factorization.

8481388953600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 8481388953600 in words is "eight trillion, four hundred eighty-one billion, three hundred eighty-eight million, nine hundred fifty-three thousand, six hundred".