123368138016 has 96 divisors (see below), whose sum is σ = 332106868800. Its totient is φ = 40075345920.

The previous prime is 123368138011. The next prime is 123368138041. The reversal of 123368138016 is 610831863321.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (123368138011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3639675 + ... + 3673413.

It is an arithmetic number, because the mean of its divisors is an integer number (3459446550).

Almost surely, 2^123368138016 is an apocalyptic number.

123368138016 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 123368138016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166053434400).

123368138016 is an abundant number, since it is smaller than the sum of its proper divisors (208738730784).

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

123368138016 is a wasteful number, since it uses less digits than its factorization.

123368138016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34722 (or 34714 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 123368138016 in words is "one hundred twenty-three billion, three hundred sixty-eight million, one hundred thirty-eight thousand, sixteen".