1518144768 has 180 divisors, whose sum is σ = 5174018080. Its totient is φ = 433714176.

The previous prime is 1518144767. The next prime is 1518144781. The reversal of 1518144768 is 8674418151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1518144767) 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 19 ways as a sum of consecutive naturals, for example, 139923 + ... + 150381.

Almost surely, 2^1518144768 is an apocalyptic number.

1518144768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1518144768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587009040).

1518144768 is an abundant number, since it is smaller than the sum of its proper divisors (3655873312).

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

1518144768 is an equidigital number, since it uses as much as digits as its factorization.

1518144768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10494 (or 10471 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 1518144768 is about 38963.3772663510. The cubic root of 1518144768 is about 1149.3114385944.

The spelling of 1518144768 in words is "one billion, five hundred eighteen million, one hundred forty-four thousand, seven hundred sixty-eight".