12315165827328 has 2160 divisors, whose sum is σ = 47273469788160. Its totient is φ = 3120484663296.

The previous prime is 12315165827297. The next prime is 12315165827351. The reversal of 12315165827328 is 82372856151321.

12315165827328 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 51 + 6 + 582 + 7 + 3 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 239 ways as a sum of consecutive naturals, for example, 96969809601 + ... + 96969809727.

Almost surely, 2^{12315165827328} is an apocalyptic number.

12315165827328 is a gapful number since it is divisible by the number (18) 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 12315165827328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23636734894080).

12315165827328 is an abundant number, since it is smaller than the sum of its proper divisors (34958303960832).

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

12315165827328 is a wasteful number, since it uses less digits than its factorization.

12315165827328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 278 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 12315165827328 in words is "twelve trillion, three hundred fifteen billion, one hundred sixty-five million, eight hundred twenty-seven thousand, three hundred twenty-eight".