12316328640 has 1344 divisors, whose sum is σ = 58473612288. Its totient is φ = 2408693760.

The previous prime is 12316328617. The next prime is 12316328671. The reversal of 12316328640 is 4682361321.

12316328640 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 6 + 3 + 2 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12316328595 and 12316328604.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 724489912 + ... + 724489928.

It is an arithmetic number, because the mean of its divisors is an integer number (43507152).

Almost surely, 2^12316328640 is an apocalyptic number.

12316328640 is a gapful number since it is divisible by the number (10) 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 12316328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29236806144).

12316328640 is an abundant number, since it is smaller than the sum of its proper divisors (46157283648).

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

12316328640 is an equidigital number, since it uses as much as digits as its factorization.

12316328640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 12316328640 its reverse (4682361321), we get a palindrome (16998689961).

The spelling of 12316328640 in words is "twelve billion, three hundred sixteen million, three hundred twenty-eight thousand, six hundred forty".