12468554787312 has 1600 divisors, whose sum is σ = 43586250301440. Its totient is φ = 3406261248000.

The previous prime is 12468554787239. The next prime is 12468554787313. The reversal of 12468554787312 is 21378745586421.

12468554787312 is a `hidden beast` number, since 1 + 2 + 4 + 6 + 8 + 5 + 547 + 8 + 73 + 12 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12468554787312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12468554787313) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 79417546338 + ... + 79417546494.

Almost surely, 2^{12468554787312} is an apocalyptic number.

12468554787312 is a gapful number since it is divisible by the number (12) 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 12468554787312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21793125150720).

12468554787312 is an abundant number, since it is smaller than the sum of its proper divisors (31117695514128).

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

12468554787312 is a wasteful number, since it uses less digits than its factorization.

12468554787312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 429 counting only the distinct ones).

The product of its digits is 90316800, while the sum is 63.

The spelling of 12468554787312 in words is "twelve trillion, four hundred sixty-eight billion, five hundred fifty-four million, seven hundred eighty-seven thousand, three hundred twelve".