8121447244800 has 594 divisors, whose sum is σ = 30196122215298. Its totient is φ = 2165674475520.

The previous prime is 8121447244787. The next prime is 8121447244811. The reversal of 8121447244800 is 84427441218.

8121447244800 is a `hidden beast` number, since 8 + 1 + 2 + 144 + 7 + 24 + 480 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6879707136 + 8114567537664 = 82944^2 + 2848608^2 .

It is a super-2 number, since 2×8121447244800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 167937424 + ... + 167985776.

Almost surely, 2^{8121447244800} is an apocalyptic number.

8121447244800 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 8121447244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15098061107649).

8121447244800 is an abundant number, since it is smaller than the sum of its proper divisors (22074674970498).

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

8121447244800 is an frugal number, since it uses more digits than its factorization.

8121447244800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48407 (or 48363 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 8121447244800 in words is "eight trillion, one hundred twenty-one billion, four hundred forty-seven million, two hundred forty-four thousand, eight hundred".