8814338934480 has 480 divisors, whose sum is σ = 30184848046080. Its totient is φ = 2304716405760.

The previous prime is 8814338934473. The next prime is 8814338934493. The reversal of 8814338934480 is 844398334188.

8814338934480 is a `hidden beast` number, since 8 + 8 + 1 + 43 + 3 + 89 + 34 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4813947165 + ... + 4813948995.

It is an arithmetic number, because the mean of its divisors is an integer number (62885100096).

Almost surely, 2^{8814338934480} is an apocalyptic number.

8814338934480 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 8814338934480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15092424023040).

8814338934480 is an abundant number, since it is smaller than the sum of its proper divisors (21370509111600).

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

8814338934480 is a wasteful number, since it uses less digits than its factorization.

8814338934480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2559 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 8814338934480 in words is "eight trillion, eight hundred fourteen billion, three hundred thirty-eight million, nine hundred thirty-four thousand, four hundred eighty".