18302675136768 has 432 divisors, whose sum is σ = 58959306858816. Its totient is φ = 5413841141760.

The previous prime is 18302675136721. The next prime is 18302675136803. The reversal of 18302675136768 is 86763157620381.

It is a happy number.

18302675136768 is a `hidden beast` number, since 1 + 8 + 3 + 0 + 267 + 5 + 1 + 367 + 6 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179409871 + ... + 179511857.

It is an arithmetic number, because the mean of its divisors is an integer number (136479876988).

Almost surely, 2^{18302675136768} is an apocalyptic number.

18302675136768 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 18302675136768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29479653429408).

18302675136768 is an abundant number, since it is smaller than the sum of its proper divisors (40656631722048).

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

18302675136768 is a wasteful number, since it uses less digits than its factorization.

18302675136768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102190 (or 102173 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 18302675136768 in words is "eighteen trillion, three hundred two billion, six hundred seventy-five million, one hundred thirty-six thousand, seven hundred sixty-eight".