181097938944 has 360 divisors, whose sum is σ = 584432212000. Its totient is φ = 55706517504.

The previous prime is 181097938943. The next prime is 181097938961. The reversal of 181097938944 is 449839790181.

181097938944 is a `hidden beast` number, since 181 + 0 + 9 + 79 + 389 + 4 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181097938943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51755307 + ... + 51758805.

Almost surely, 2^181097938944 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 181097938944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292216106000).

181097938944 is an abundant number, since it is smaller than the sum of its proper divisors (403334273056).

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

181097938944 is an frugal number, since it uses more digits than its factorization.

181097938944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3555 (or 3517 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 181097938944 in words is "one hundred eighty-one billion, ninety-seven million, nine hundred thirty-eight thousand, nine hundred forty-four".