18182071875312 has 400 divisors, whose sum is σ = 55704625086528. Its totient is φ = 5713640570880.

The previous prime is 18182071875311. The next prime is 18182071875343. The reversal of 18182071875312 is 21357817028181.

18182071875312 is a `hidden beast` number, since 1 + 8 + 1 + 8 + 20 + 7 + 1 + 87 + 531 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18182071875311) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4684891612 + ... + 4684895492.

Almost surely, 2^{18182071875312} is an apocalyptic number.

18182071875312 is a gapful number since it is divisible by the number (12) 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 18182071875312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27852312543264).

18182071875312 is an abundant number, since it is smaller than the sum of its proper divisors (37522553211216).

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

18182071875312 is a wasteful number, since it uses less digits than its factorization.

18182071875312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6150 (or 6135 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 54.

The spelling of 18182071875312 in words is "eighteen trillion, one hundred eighty-two billion, seventy-one million, eight hundred seventy-five thousand, three hundred twelve".