8493078453888 has 768 divisors, whose sum is σ = 29242838592000. Its totient is φ = 2167874150400.

The previous prime is 8493078453887. The next prime is 8493078453889. The reversal of 8493078453888 is 8883548703948.

It is an interprime number because it is at equal distance from previous prime (8493078453887) and next prime (8493078453889).

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (8493078453887) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 445797963 + ... + 445817013.

It is an arithmetic number, because the mean of its divisors is an integer number (38076612750).

Almost surely, 2^{8493078453888} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8493078453888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14621419296000).

8493078453888 is an abundant number, since it is smaller than the sum of its proper divisors (20749760138112).

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

8493078453888 is a wasteful number, since it uses less digits than its factorization.

8493078453888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19173 (or 19154 counting only the distinct ones).

The product of its (nonzero) digits is 1486356480, while the sum is 75.

The spelling of 8493078453888 in words is "eight trillion, four hundred ninety-three billion, seventy-eight million, four hundred fifty-three thousand, eight hundred eighty-eight".