12318810694400 has 1728 divisors, whose sum is σ = 40468609843200. Its totient is φ = 3611527741440.

The previous prime is 12318810694357. The next prime is 12318810694427. The reversal of 12318810694400 is 449601881321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (47).

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, 40126419047 + ... + 40126419353.

It is an arithmetic number, because the mean of its divisors is an integer number (23419334400).

Almost surely, 2^{12318810694400} is an apocalyptic number.

12318810694400 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 12318810694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20234304921600).

12318810694400 is an abundant number, since it is smaller than the sum of its proper divisors (28149799148800).

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

12318810694400 is a wasteful number, since it uses less digits than its factorization.

12318810694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 47.

The spelling of 12318810694400 in words is "twelve trillion, three hundred eighteen billion, eight hundred ten million, six hundred ninety-four thousand, four hundred".