123668682136704 has 192 divisors, whose sum is σ = 361727126549880. Its totient is φ = 40544453836800.

The previous prime is 123668682136669. The next prime is 123668682136729. The reversal of 123668682136704 is 407631286866321.

It is a happy number.

123668682136704 is a `hidden beast` number, since 1 + 236 + 68 + 68 + 213 + 6 + 70 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 87644197975104 + 36024484161600 = 9361848^2 + 6002040^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1273350354 + ... + 1273447470.

Almost surely, 2^{123668682136704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123668682136704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180863563274940).

123668682136704 is an abundant number, since it is smaller than the sum of its proper divisors (238058444413176).

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

123668682136704 is a wasteful number, since it uses less digits than its factorization.

123668682136704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115319 (or 115304 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 123668682136704 in words is "one hundred twenty-three trillion, six hundred sixty-eight billion, six hundred eighty-two million, one hundred thirty-six thousand, seven hundred four".