18131641344 has 308 divisors, whose sum is σ = 55093023504. Its totient is φ = 5961019392.

The previous prime is 18131641331. The next prime is 18131641349. The reversal of 18131641344 is 44314613181.

18131641344 is a `hidden beast` number, since 1 + 8 + 1 + 3 + 1 + 641 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 18131641299 and 18131641308.

It is not an unprimeable number, because it can be changed into a prime (18131641349) 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 27 ways as a sum of consecutive naturals, for example, 79874959 + ... + 79875185.

Almost surely, 2^18131641344 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 18131641344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27546511752).

18131641344 is an abundant number, since it is smaller than the sum of its proper divisors (36961382160).

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

18131641344 is an equidigital number, since it uses as much as digits as its factorization.

18131641344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 339 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The spelling of 18131641344 in words is "eighteen billion, one hundred thirty-one million, six hundred forty-one thousand, three hundred forty-four".