12487470686208 has 1344 divisors, whose sum is σ = 45615808143360. Its totient is φ = 3336084652032.

The previous prime is 12487470686191. The next prime is 12487470686227. The reversal of 12487470686208 is 80268607478421.

12487470686208 is a `hidden beast` number, since 1 + 2 + 4 + 87 + 470 + 6 + 86 + 2 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15063293538 + ... + 15063294366.

It is an arithmetic number, because the mean of its divisors is an integer number (33940333440).

Almost surely, 2^{12487470686208} is an apocalyptic number.

12487470686208 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 12487470686208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22807904071680).

12487470686208 is an abundant number, since it is smaller than the sum of its proper divisors (33128337457152).

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

12487470686208 is an frugal number, since it uses more digits than its factorization.

12487470686208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 12487470686208 in words is "twelve trillion, four hundred eighty-seven billion, four hundred seventy million, six hundred eighty-six thousand, two hundred eight".