182131609974912 has 640 divisors, whose sum is σ = 599843615540400. Its totient is φ = 54500657725440.

The previous prime is 182131609974829. The next prime is 182131609974917. The reversal of 182131609974912 is 219479906131281.

182131609974912 is a `hidden beast` number, since 1 + 8 + 2 + 1 + 3 + 1 + 609 + 9 + 7 + 4 + 9 + 12 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 276028347456 + 181855581627456 = 525384^2 + 13485384^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 182131609974912.

It is not an unprimeable number, because it can be changed into a prime (182131609974917) 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, 1751735664 + ... + 1751839632.

Almost surely, 2^{182131609974912} is an apocalyptic number.

182131609974912 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 182131609974912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299921807770200).

182131609974912 is an abundant number, since it is smaller than the sum of its proper divisors (417712005565488).

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

182131609974912 is a wasteful number, since it uses less digits than its factorization.

182131609974912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104366 (or 104345 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 182131609974912 in words is "one hundred eighty-two trillion, one hundred thirty-one billion, six hundred nine million, nine hundred seventy-four thousand, nine hundred twelve".