181632227904 has 196 divisors, whose sum is σ = 550596052476. Its totient is φ = 59400926208.

The previous prime is 181632227891. The next prime is 181632227911. The reversal of 181632227904 is 409722236181.

181632227904 is a `hidden beast` number, since 1 + 8 + 1 + 632 + 2 + 2 + 7 + 9 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 125485977600 + 56146250304 = 354240^2 + 236952^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 181632227904.

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 27 ways as a sum of consecutive naturals, for example, 2436042 + ... + 2509494.

Almost surely, 2^181632227904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181632227904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275298026238).

181632227904 is an abundant number, since it is smaller than the sum of its proper divisors (368963824572).

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

181632227904 is an frugal number, since it uses more digits than its factorization.

181632227904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73536 (or 73511 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 181632227904 in words is "one hundred eighty-one billion, six hundred thirty-two million, two hundred twenty-seven thousand, nine hundred four".