12393106989984 has 864 divisors, whose sum is σ = 44514473814720. Its totient is φ = 3377347964928.

The previous prime is 12393106989883. The next prime is 12393106990079. The reversal of 12393106989984 is 48998960139321.

12393106989984 is a `hidden beast` number, since 1 + 2 + 393 + 10 + 69 + 8 + 99 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 917118012 + ... + 917131524.

It is an arithmetic number, because the mean of its divisors is an integer number (51521381730).

Almost surely, 2^{12393106989984} is an apocalyptic number.

12393106989984 is a gapful number since it is divisible by the number (14) 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 12393106989984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22257236907360).

12393106989984 is an abundant number, since it is smaller than the sum of its proper divisors (32121366824736).

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

12393106989984 is a wasteful number, since it uses less digits than its factorization.

12393106989984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13664 (or 13637 counting only the distinct ones).

The product of its (nonzero) digits is 181398528, while the sum is 72.

The spelling of 12393106989984 in words is "twelve trillion, three hundred ninety-three billion, one hundred six million, nine hundred eighty-nine thousand, nine hundred eighty-four".