214434793241760 has 2304 divisors, whose sum is σ = 884703299687424. Its totient is φ = 43360214188032.

The previous prime is 214434793241749. The next prime is 214434793241791. The reversal of 214434793241760 is 67142397434412.

It is a self number, because there is not a number n which added to its sum of digits gives 214434793241760.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 283269211302 + ... + 283269212058.

It is an arithmetic number, because the mean of its divisors is an integer number (383985807156).

Almost surely, 2^{214434793241760} is an apocalyptic number.

214434793241760 is a gapful number since it is divisible by the number (20) 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 214434793241760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442351649843712).

214434793241760 is an abundant number, since it is smaller than the sum of its proper divisors (670268506445664).

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

214434793241760 is an equidigital number, since it uses as much as digits as its factorization.

214434793241760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 57.

The spelling of 214434793241760 in words is "two hundred fourteen trillion, four hundred thirty-four billion, seven hundred ninety-three million, two hundred forty-one thousand, seven hundred sixty".