12315140656416 has 240 divisors, whose sum is σ = 39349708957944. Its totient is φ = 3755739488256.

The previous prime is 12315140656409. The next prime is 12315140656417. The reversal of 12315140656416 is 61465604151321.

12315140656416 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 514 + 0 + 65 + 64 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7934474912400 + 4380665744016 = 2816820^2 + 2093004^2 .

It is not an unprimeable number, because it can be changed into a prime (12315140656417) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2190490 + ... + 5424806.

Almost surely, 2^{12315140656416} is an apocalyptic number.

12315140656416 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 12315140656416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19674854478972).

12315140656416 is an abundant number, since it is smaller than the sum of its proper divisors (27034568301528).

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

12315140656416 is a wasteful number, since it uses less digits than its factorization.

12315140656416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3234465 (or 3234448 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 12315140656416 in words is "twelve trillion, three hundred fifteen billion, one hundred forty million, six hundred fifty-six thousand, four hundred sixteen".