181883200742464 has 189 divisors, whose sum is σ = 394968503602053. Its totient is φ = 83065052588544.

The previous prime is 181883200742429. The next prime is 181883200742483. The reversal of 181883200742464 is 464247002388181.

The square root of 181883200742464 is 13486408.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 26905798926400 + 154977401816064 = 5187080^2 + 12448992^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 181883200742399 and 181883200742408.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 144466401867 + ... + 144466403125.

Almost surely, 2^{181883200742464} is an apocalyptic number.

181883200742464 is the 13486408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181883200742464

181883200742464 is an abundant number, since it is smaller than the sum of its proper divisors (213085302859589).

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

181883200742464 is an frugal number, since it uses more digits than its factorization.

181883200742464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 58.

The spelling of 181883200742464 in words is "one hundred eighty-one trillion, eight hundred eighty-three billion, two hundred million, seven hundred forty-two thousand, four hundred sixty-four".