123364316160 has 1056 divisors, whose sum is σ = 486692623872. Its totient is φ = 28720496640.

The previous prime is 123364316149. The next prime is 123364316249. The reversal of 123364316160 is 61613463321.

123364316160 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 6 + 4 + 31 + 616 + 0 = 666.

123364316160 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 738708397 + ... + 738708563.

Almost surely, 2^123364316160 is an apocalyptic number.

123364316160 is a gapful number since it is divisible by the number (10) 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 123364316160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243346311936).

123364316160 is an abundant number, since it is smaller than the sum of its proper divisors (363328307712).

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

123364316160 is a wasteful number, since it uses less digits than its factorization.

123364316160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Adding to 123364316160 its reverse (61613463321), we get a palindrome (184977779481).

The spelling of 123364316160 in words is "one hundred twenty-three billion, three hundred sixty-four million, three hundred sixteen thousand, one hundred sixty".