138633888816 has 240 divisors, whose sum is σ = 415871820000. Its totient is φ = 42985451520.

The previous prime is 138633888787. The next prime is 138633888893. The reversal of 138633888816 is 618888336831.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 36280186 + ... + 36284006.

It is an arithmetic number, because the mean of its divisors is an integer number (1732799250).

Almost surely, 2^138633888816 is an apocalyptic number.

138633888816 is a gapful number since it is divisible by the number (16) 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 138633888816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207935910000).

138633888816 is an abundant number, since it is smaller than the sum of its proper divisors (277237931184).

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

138633888816 is a wasteful number, since it uses less digits than its factorization.

138633888816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4092 (or 4083 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 63.

The spelling of 138633888816 in words is "one hundred thirty-eight billion, six hundred thirty-three million, eight hundred eighty-eight thousand, eight hundred sixteen".