12318566400 has 1152 divisors, whose sum is σ = 55246464000. Its totient is φ = 2627665920.

The previous prime is 12318566383. The next prime is 12318566471. The reversal of 12318566400 is 466581321.

It is a happy number.

12318566400 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 8 + 5 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 183859167 + ... + 183859233.

It is an arithmetic number, because the mean of its divisors is an integer number (47957000).

Almost surely, 2^12318566400 is an apocalyptic number.

12318566400 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 12318566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27623232000).

12318566400 is an abundant number, since it is smaller than the sum of its proper divisors (42927897600).

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

12318566400 is a wasteful number, since it uses less digits than its factorization.

12318566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12318566400 in words is "twelve billion, three hundred eighteen million, five hundred sixty-six thousand, four hundred".