12315495816 has 192 divisors, whose sum is σ = 36428421120. Its totient is φ = 3736212480.

The previous prime is 12315495811. The next prime is 12315495817. The reversal of 12315495816 is 61859451321.

It is a happy number.

12315495816 is a `hidden beast` number, since 1 + 23 + 1 + 5 + 49 + 581 + 6 = 666.

12315495816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12315495811) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 37206771 + ... + 37207101.

It is an arithmetic number, because the mean of its divisors is an integer number (189731360).

Almost surely, 2^12315495816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12315495816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18214210560).

12315495816 is an abundant number, since it is smaller than the sum of its proper divisors (24112925304).

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

12315495816 is a wasteful number, since it uses less digits than its factorization.

12315495816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 789 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The spelling of 12315495816 in words is "twelve billion, three hundred fifteen million, four hundred ninety-five thousand, eight hundred sixteen".