138111353856 has 1056 divisors, whose sum is σ = 521621452800. Its totient is φ = 35254517760.

The previous prime is 138111353843. The next prime is 138111353857. The reversal of 138111353856 is 658353111831.

138111353856 is a `hidden beast` number, since 138 + 1 + 1 + 135 + 385 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138111353857) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1945230301 + ... + 1945230371.

Almost surely, 2^138111353856 is an apocalyptic number.

138111353856 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 138111353856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260810726400).

138111353856 is an abundant number, since it is smaller than the sum of its proper divisors (383510098944).

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

138111353856 is a wasteful number, since it uses less digits than its factorization.

138111353856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 125 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The spelling of 138111353856 in words is "one hundred thirty-eight billion, one hundred eleven million, three hundred fifty-three thousand, eight hundred fifty-six".