24668388386642 has 288 divisors, whose sum is σ = 52783645904640. Its totient is φ = 8403595200000.

The previous prime is 24668388386633. The next prime is 24668388386657.

24668388386642 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 24668388386642.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1793927267 + ... + 1793941017.

It is an arithmetic number, because the mean of its divisors is an integer number (183276548280).

Almost surely, 2^{24668388386642} is an apocalyptic number.

24668388386642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24668388386642 is an abundant number, since it is smaller than the sum of its proper divisors (28115257517998).

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

24668388386642 is a wasteful number, since it uses less digits than its factorization.

24668388386642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13930 (or 13866 counting only the distinct ones).

The product of its digits is 3057647616, while the sum is 74.

The spelling of 24668388386642 in words is "twenty-four trillion, six hundred sixty-eight billion, three hundred eighty-eight million, three hundred eighty-six thousand, six hundred forty-two".