12368470118400 has 936 divisors, whose sum is σ = 49996272980160. Its totient is φ = 2894954496000.

The previous prime is 12368470118261. The next prime is 12368470118453. The reversal of 12368470118400 is 481107486321.

12368470118400 is a `hidden beast` number, since 1 + 2 + 3 + 68 + 4 + 70 + 118 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 293969365 + ... + 294011435.

It is an arithmetic number, because the mean of its divisors is an integer number (53414821560).

Almost surely, 2^{12368470118400} is an apocalyptic number.

12368470118400 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 12368470118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24998136490080).

12368470118400 is an abundant number, since it is smaller than the sum of its proper divisors (37627802861760).

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

12368470118400 is a wasteful number, since it uses less digits than its factorization.

12368470118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42151 (or 42121 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 12368470118400 in words is "twelve trillion, three hundred sixty-eight billion, four hundred seventy million, one hundred eighteen thousand, four hundred".