18131837568 has 256 divisors, whose sum is σ = 53916710400. Its totient is φ = 5362384896.

The previous prime is 18131837567. The next prime is 18131837573. The reversal of 18131837568 is 86573813181.

It is a self number, because there is not a number n which added to its sum of digits gives 18131837568.

It is not an unprimeable number, because it can be changed into a prime (18131837567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16438105 + ... + 16439207.

It is an arithmetic number, because the mean of its divisors is an integer number (210612150).

Almost surely, 2^18131837568 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 18131837568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26958355200).

18131837568 is an abundant number, since it is smaller than the sum of its proper divisors (35784872832).

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

18131837568 is a wasteful number, since it uses less digits than its factorization.

18131837568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1247 counting only the distinct ones).

The product of its digits is 967680, while the sum is 51.

It can be divided in two parts, 1813 and 1837568, that added together give a palindrome (1839381).

The spelling of 18131837568 in words is "eighteen billion, one hundred thirty-one million, eight hundred thirty-seven thousand, five hundred sixty-eight".