12395913981696 has 576 divisors, whose sum is σ = 45556902236160. Its totient is φ = 3243256381440.

The previous prime is 12395913981673. The next prime is 12395913981727. The reversal of 12395913981696 is 69618931959321.

12395913981696 is a `hidden beast` number, since 1 + 2 + 3 + 95 + 91 + 398 + 1 + 69 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30229881 + ... + 30637191.

It is an arithmetic number, because the mean of its divisors is an integer number (79091844160).

Almost surely, 2^{12395913981696} is an apocalyptic number.

12395913981696 is a gapful number since it is divisible by the number (16) 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 12395913981696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22778451118080).

12395913981696 is an abundant number, since it is smaller than the sum of its proper divisors (33160988254464).

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

12395913981696 is a wasteful number, since it uses less digits than its factorization.

12395913981696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407397 (or 407377 counting only the distinct ones).

The product of its digits is 170061120, while the sum is 72.

The spelling of 12395913981696 in words is "twelve trillion, three hundred ninety-five billion, nine hundred thirteen million, nine hundred eighty-one thousand, six hundred ninety-six".