8448484880800 has 288 divisors, whose sum is σ = 22123936477440. Its totient is φ = 3143243980800.

The previous prime is 8448484880767. The next prime is 8448484880821. The reversal of 8448484880800 is 80884848448.

It is a super-2 number, since 2×8448484880800² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95322906 + ... + 95411494.

It is an arithmetic number, because the mean of its divisors is an integer number (76819223880).

Almost surely, 2^{8448484880800} is an apocalyptic number.

8448484880800 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 8448484880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11061968238720).

8448484880800 is an abundant number, since it is smaller than the sum of its proper divisors (13675451596640).

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

8448484880800 is a wasteful number, since it uses less digits than its factorization.

8448484880800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88776 (or 88763 counting only the distinct ones).

The product of its (nonzero) digits is 67108864, while the sum is 64.

The spelling of 8448484880800 in words is "eight trillion, four hundred forty-eight billion, four hundred eighty-four million, eight hundred eighty thousand, eight hundred".