181223067648 has 832 divisors, whose sum is σ = 620681216000. Its totient is φ = 46820229120.

The previous prime is 181223067647. The next prime is 181223067673. The reversal of 181223067648 is 846760322181.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 181223067597 and 181223067606.

It is not an unprimeable number, because it can be changed into a prime (181223067647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2482507740 + ... + 2482507812.

Almost surely, 2^181223067648 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 181223067648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310340608000).

181223067648 is an abundant number, since it is smaller than the sum of its proper divisors (439458148352).

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

181223067648 is an equidigital number, since it uses as much as digits as its factorization.

181223067648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 181223067648 in words is "one hundred eighty-one billion, two hundred twenty-three million, sixty-seven thousand, six hundred forty-eight".