18165741436008 has 192 divisors, whose sum is σ = 50397060714000. Its totient is φ = 5909668429824.

The previous prime is 18165741436001. The next prime is 18165741436049. The reversal of 18165741436008 is 80063414756181.

18165741436008 is a `hidden beast` number, since 1 + 8 + 1 + 6 + 574 + 1 + 4 + 3 + 60 + 0 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9533533120164 + 8632208315844 = 3087642^2 + 2938062^2 .

It is not an unprimeable number, because it can be changed into a prime (18165741436001) by changing a digit.

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, 440542560 + ... + 440583792.

Almost surely, 2^{18165741436008} is an apocalyptic number.

18165741436008 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 18165741436008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25198530357000).

18165741436008 is an abundant number, since it is smaller than the sum of its proper divisors (32231319277992).

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

18165741436008 is a wasteful number, since it uses less digits than its factorization.

18165741436008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42196 (or 42189 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 18165741436008 in words is "eighteen trillion, one hundred sixty-five billion, seven hundred forty-one million, four hundred thirty-six thousand, eight".