343221188864 has 72 divisors (see below), whose sum is σ = 699429753792. Its totient is φ = 168034580480.

The previous prime is 343221188851. The next prime is 343221188911. The reversal of 343221188864 is 468881122343.

It is a super-2 number, since 2×343221188864² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6799559 + ... + 6849849.

It is an arithmetic number, because the mean of its divisors is an integer number (9714302136).

Almost surely, 2^343221188864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343221188864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349714876896).

343221188864 is an abundant number, since it is smaller than the sum of its proper divisors (356208564928).

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

343221188864 is an equidigital number, since it uses as much as digits as its factorization.

343221188864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50863 (or 50849 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 50.

The spelling of 343221188864 in words is "three hundred forty-three billion, two hundred twenty-one million, one hundred eighty-eight thousand, eight hundred sixty-four".