8182118430720 has 1152 divisors, whose sum is σ = 33277258123200. Its totient is φ = 1895345160192.

The previous prime is 8182118430713. The next prime is 8182118430901. The reversal of 8182118430720 is 270348112818.

8182118430720 is a `hidden beast` number, since 8 + 1 + 82 + 118 + 430 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1038731422 + ... + 1038739298.

Almost surely, 2^{8182118430720} is an apocalyptic number.

8182118430720 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 8182118430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16638629061600).

8182118430720 is an abundant number, since it is smaller than the sum of its proper divisors (25095139692480).

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

8182118430720 is a wasteful number, since it uses less digits than its factorization.

8182118430720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7960 (or 7917 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 8182118430720 in words is "eight trillion, one hundred eighty-two billion, one hundred eighteen million, four hundred thirty thousand, seven hundred twenty".