138821050368 has 1680 divisors, whose sum is σ = 590579626560. Its totient is φ = 31531991040.

The previous prime is 138821050337. The next prime is 138821050373. The reversal of 138821050368 is 863050128831.

138821050368 is a `hidden beast` number, since 1 + 3 + 8 + 82 + 1 + 0 + 503 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7306371063 + ... + 7306371081.

It is an arithmetic number, because the mean of its divisors is an integer number (351535492).

Almost surely, 2^138821050368 is an apocalyptic number.

138821050368 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 138821050368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295289813280).

138821050368 is an abundant number, since it is smaller than the sum of its proper divisors (451758576192).

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

138821050368 is a wasteful number, since it uses less digits than its factorization.

138821050368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 138821050368 in words is "one hundred thirty-eight billion, eight hundred twenty-one million, fifty thousand, three hundred sixty-eight".