181448112768 has 768 divisors, whose sum is σ = 584887910400. Its totient is φ = 49600512000.

The previous prime is 181448112761. The next prime is 181448112793. The reversal of 181448112768 is 867211844181.

It is a self number, because there is not a number n which added to its sum of digits gives 181448112768.

It is not an unprimeable number, because it can be changed into a prime (181448112761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1796515918 + ... + 1796516018.

It is an arithmetic number, because the mean of its divisors is an integer number (761572800).

Almost surely, 2^181448112768 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 181448112768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292443955200).

181448112768 is an abundant number, since it is smaller than the sum of its proper divisors (403439797632).

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

181448112768 is a wasteful number, since it uses less digits than its factorization.

181448112768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 216 counting only the distinct ones).

The product of its digits is 688128, while the sum is 51.

The spelling of 181448112768 in words is "one hundred eighty-one billion, four hundred forty-eight million, one hundred twelve thousand, seven hundred sixty-eight".