12685545686016 has 1056 divisors, whose sum is σ = 45845243458560. Its totient is φ = 3422582636544.

The previous prime is 12685545686003. The next prime is 12685545686057. The reversal of 12685545686016 is 61068654558621.

12685545686016 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 5 + 5 + 4 + 568 + 60 + 1 + 6 = 666.

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, 19426562746 + ... + 19426563398.

Almost surely, 2^{12685545686016} is an apocalyptic number.

12685545686016 is a gapful number since it is divisible by the number (16) 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 12685545686016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22922621729280).

12685545686016 is an abundant number, since it is smaller than the sum of its proper divisors (33159697772544).

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

12685545686016 is an equidigital number, since it uses as much as digits as its factorization.

12685545686016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 12685545686016 in words is "twelve trillion, six hundred eighty-five billion, five hundred forty-five million, six hundred eighty-six thousand, sixteen".