8293338144 has 384 divisors, whose sum is σ = 29954695680. Its totient is φ = 2173796352.

The previous prime is 8293338113. The next prime is 8293338167. The reversal of 8293338144 is 4418333928.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 8293338144.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24609144 + ... + 24609480.

It is an arithmetic number, because the mean of its divisors is an integer number (78007020).

Almost surely, 2^8293338144 is an apocalyptic number.

8293338144 is a gapful number since it is divisible by the number (84) 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 8293338144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14977347840).

8293338144 is an abundant number, since it is smaller than the sum of its proper divisors (21661357536).

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

8293338144 is a wasteful number, since it uses less digits than its factorization.

8293338144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 675 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 8293338144 is about 91067.7667673914. The cubic root of 8293338144 is about 2024.1520114756.

The spelling of 8293338144 in words is "eight billion, two hundred ninety-three million, three hundred thirty-eight thousand, one hundred forty-four".