138063495168018 has 96 divisors (see below), whose sum is σ = 346449721013760. Its totient is φ = 38919181242240.

The previous prime is 138063495168007. The next prime is 138063495168089. The reversal of 138063495168018 is 810861594360831.

138063495168018 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 6 + 34 + 9 + 516 + 80 + 1 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8724696 + ... + 18768252.

It is an arithmetic number, because the mean of its divisors is an integer number (3608851260560).

Almost surely, 2^{138063495168018} is an apocalyptic number.

138063495168018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138063495168018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173224860506880).

138063495168018 is an abundant number, since it is smaller than the sum of its proper divisors (208386225845742).

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

138063495168018 is a wasteful number, since it uses less digits than its factorization.

138063495168018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10045032 (or 10045029 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 138063495168018 in words is "one hundred thirty-eight trillion, sixty-three billion, four hundred ninety-five million, one hundred sixty-eight thousand, eighteen".