12668146701408 has 144 divisors (see below), whose sum is σ = 41368469688000. Its totient is φ = 3636788509440.

The previous prime is 12668146701337. The next prime is 12668146701409. The reversal of 12668146701408 is 80410764186621.

12668146701408 is a `hidden beast` number, since 1 + 2 + 66 + 81 + 467 + 0 + 1 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×12668146701408² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12668146701409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105170958 + ... + 105291341.

It is an arithmetic number, because the mean of its divisors is an integer number (287281039500).

Almost surely, 2^{12668146701408} is an apocalyptic number.

12668146701408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12668146701408 is an abundant number, since it is smaller than the sum of its proper divisors (28700322986592).

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

12668146701408 is a wasteful number, since it uses less digits than its factorization.

12668146701408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210462345 (or 210462334 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 12668146701408 in words is "twelve trillion, six hundred sixty-eight billion, one hundred forty-six million, seven hundred one thousand, four hundred eight".