123868509408 has 576 divisors, whose sum is σ = 443732889600. Its totient is φ = 31979888640.

The previous prime is 123868509407. The next prime is 123868509451. The reversal of 123868509408 is 804905868321.

123868509408 is a `hidden beast` number, since 1 + 2 + 38 + 68 + 509 + 40 + 8 = 666.

123868509408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123868509407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86681238 + ... + 86682666.

It is an arithmetic number, because the mean of its divisors is an integer number (770369600).

Almost surely, 2^123868509408 is an apocalyptic number.

123868509408 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 123868509408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221866444800).

123868509408 is an abundant number, since it is smaller than the sum of its proper divisors (319864380192).

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

123868509408 is a wasteful number, since it uses less digits than its factorization.

123868509408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 123868509408 in words is "one hundred twenty-three billion, eight hundred sixty-eight million, five hundred nine thousand, four hundred eight".