8493984449280 has 2304 divisors, whose sum is σ = 35677055232000. Its totient is φ = 1891919462400.

The previous prime is 8493984449183. The next prime is 8493984449281. The reversal of 8493984449280 is 829444893948.

8493984449280 is a `hidden beast` number, since 8 + 4 + 9 + 3 + 98 + 44 + 492 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×8493984449280² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 8493984449199 and 8493984449208.

It is not an unprimeable number, because it can be changed into a prime (8493984449281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 46928090790 + ... + 46928090970.

It is an arithmetic number, because the mean of its divisors is an integer number (15484833000).

Almost surely, 2^{8493984449280} is an apocalyptic number.

8493984449280 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 8493984449280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17838527616000).

8493984449280 is an abundant number, since it is smaller than the sum of its proper divisors (27183070782720).

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

8493984449280 is a wasteful number, since it uses less digits than its factorization.

8493984449280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 573308928, while the sum is 72.

The spelling of 8493984449280 in words is "eight trillion, four hundred ninety-three billion, nine hundred eighty-four million, four hundred forty-nine thousand, two hundred eighty".