138796404768 has 192 divisors, whose sum is σ = 462903517440. Its totient is φ = 39634790400.

The previous prime is 138796404763. The next prime is 138796404793. The reversal of 138796404768 is 867404697831.

138796404768 is a `hidden beast` number, since 1 + 3 + 87 + 96 + 404 + 7 + 68 = 666.

138796404768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (138796404763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13790458 + ... + 13800518.

It is an arithmetic number, because the mean of its divisors is an integer number (2410955820).

Almost surely, 2^138796404768 is an apocalyptic number.

138796404768 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 138796404768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231451758720).

138796404768 is an abundant number, since it is smaller than the sum of its proper divisors (324107112672).

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

138796404768 is a wasteful number, since it uses less digits than its factorization.

138796404768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12368 (or 12354 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 138796404768 in words is "one hundred thirty-eight billion, seven hundred ninety-six million, four hundred four thousand, seven hundred sixty-eight".