38181160000 has 105 divisors (see below), whose sum is σ = 94773872809. Its totient is φ = 15256832000.

The previous prime is 38181159971. The next prime is 38181160001. The reversal of 38181160000 is 6118183.

It is a happy number.

The square root of 38181160000 is 195400.

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

It can be written as a sum of positive squares in 7 ways, for example, as 10107487296 + 28073672704 = 100536^2 + 167552^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38181160001) 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 14 ways as a sum of consecutive naturals, for example, 39079512 + ... + 39080488.

Almost surely, 2^38181160000 is an apocalyptic number.

38181160000 is the 195400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38181160000

38181160000 is an abundant number, since it is smaller than the sum of its proper divisors (56592712809).

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

38181160000 is an frugal number, since it uses more digits than its factorization.

38181160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

Adding to 38181160000 its reverse (6118183), we get a palindrome (38187278183).

The spelling of 38181160000 in words is "thirty-eight billion, one hundred eighty-one million, one hundred sixty thousand".