181827148032000 has 1536 divisors, whose sum is σ = 696017387520000. Its totient is φ = 46778425344000.

The previous prime is 181827148031983. The next prime is 181827148032029. The reversal of 181827148032000 is 230841728181.

181827148032000 is a `hidden beast` number, since 1 + 8 + 1 + 82 + 71 + 480 + 3 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×181827148032000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 81209086881 + ... + 81209089119.

It is an arithmetic number, because the mean of its divisors is an integer number (453136320000).

Almost surely, 2^{181827148032000} is an apocalyptic number.

181827148032000 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 181827148032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348008693760000).

181827148032000 is an abundant number, since it is smaller than the sum of its proper divisors (514190239488000).

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

181827148032000 is a wasteful number, since it uses less digits than its factorization.

181827148032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2659 counting only the distinct ones).

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

The spelling of 181827148032000 in words is "one hundred eighty-one trillion, eight hundred twenty-seven billion, one hundred forty-eight million, thirty-two thousand".