12614106084180 has 192 divisors, whose sum is σ = 37478004480000. Its totient is φ = 3161110897152.

The previous prime is 12614106084101. The next prime is 12614106084247. The reversal of 12614106084180 is 8148060141621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107150191 + ... + 107267849.

It is an arithmetic number, because the mean of its divisors is an integer number (195197940000).

Almost surely, 2^{12614106084180} is an apocalyptic number.

12614106084180 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 12614106084180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18739002240000).

12614106084180 is an abundant number, since it is smaller than the sum of its proper divisors (24863898395820).

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

12614106084180 is a wasteful number, since it uses less digits than its factorization.

12614106084180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118446 (or 118444 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 12614106084180 in words is "twelve trillion, six hundred fourteen billion, one hundred six million, eighty-four thousand, one hundred eighty".