12398975613882 has 288 divisors, whose sum is σ = 31968530350848. Its totient is φ = 3449923488000.

The previous prime is 12398975613863. The next prime is 12398975613919. The reversal of 12398975613882 is 28831657989321.

12398975613882 is a `hidden beast` number, since 1 + 2 + 398 + 9 + 75 + 61 + 38 + 82 = 666.

It is a super-2 number, since 2×12398975613882² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12398975613882.

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, 8141151973 + ... + 8141153495.

It is an arithmetic number, because the mean of its divisors is an integer number (111001841496).

Almost surely, 2^{12398975613882} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12398975613882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15984265175424).

12398975613882 is an abundant number, since it is smaller than the sum of its proper divisors (19569554736966).

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

12398975613882 is a wasteful number, since it uses less digits than its factorization.

12398975613882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2898 (or 2884 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 72.

The spelling of 12398975613882 in words is "twelve trillion, three hundred ninety-eight billion, nine hundred seventy-five million, six hundred thirteen thousand, eight hundred eighty-two".