12414472866288 has 320 divisors, whose sum is σ = 37692426816000. Its totient is φ = 3901288126464.

The previous prime is 12414472866259. The next prime is 12414472866329. The reversal of 12414472866288 is 88266827441421.

12414472866288 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 4 + 472 + 86 + 6 + 2 + 88 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2280811695 + ... + 2280817137.

It is an arithmetic number, because the mean of its divisors is an integer number (117788833800).

Almost surely, 2^{12414472866288} is an apocalyptic number.

12414472866288 is a gapful number since it is divisible by the number (18) 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 12414472866288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18846213408000).

12414472866288 is an abundant number, since it is smaller than the sum of its proper divisors (25277953949712).

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

12414472866288 is a wasteful number, since it uses less digits than its factorization.

12414472866288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6781 (or 6769 counting only the distinct ones).

The product of its digits is 66060288, while the sum is 63.

The spelling of 12414472866288 in words is "twelve trillion, four hundred fourteen billion, four hundred seventy-two million, eight hundred sixty-six thousand, two hundred eighty-eight".