181982111227200 has 420 divisors, whose sum is σ = 668987699880192. Its totient is φ = 48523685299200.

The previous prime is 181982111227171. The next prime is 181982111227243. The reversal of 181982111227200 is 2722111289181.

181982111227200 is a `hidden beast` number, since 1 + 8 + 1 + 9 + 8 + 211 + 1 + 227 + 200 = 666.

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

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1395856417 + ... + 1395986783.

Almost surely, 2^{181982111227200} is an apocalyptic number.

181982111227200 is a gapful number since it is divisible by the number (10) 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 181982111227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334493849940096).

181982111227200 is an abundant number, since it is smaller than the sum of its proper divisors (487005588652992).

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

181982111227200 is a wasteful number, since it uses less digits than its factorization.

181982111227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141172 (or 141148 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 45.

The spelling of 181982111227200 in words is "one hundred eighty-one trillion, nine hundred eighty-two billion, one hundred eleven million, two hundred twenty-seven thousand, two hundred".