138856344768 has 224 divisors, whose sum is σ = 443561216000. Its totient is φ = 42434565120.

The previous prime is 138856344667. The next prime is 138856344793. The reversal of 138856344768 is 867443658831.

138856344768 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 563 + 4 + 4 + 7 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 949578 + ... + 1086006.

It is an arithmetic number, because the mean of its divisors is an integer number (1980184000).

Almost surely, 2^138856344768 is an apocalyptic number.

138856344768 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 138856344768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221780608000).

138856344768 is an abundant number, since it is smaller than the sum of its proper divisors (304704871232).

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

138856344768 is a wasteful number, since it uses less digits than its factorization.

138856344768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136500 (or 136484 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 138856344768 in words is "one hundred thirty-eight billion, eight hundred fifty-six million, three hundred forty-four thousand, seven hundred sixty-eight".