334218109456 has 135 divisors (see below), whose sum is σ = 828415420077. Its totient is φ = 130145473920.

The previous prime is 334218109441. The next prime is 334218109517. The reversal of 334218109456 is 654901812433.

It is a happy number.

The square root of 334218109456 is 578116.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 209196464400 + 125021645056 = 457380^2 + 353584^2 .

It is a super-3 number, since 3×334218109456³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 26 ways as a sum of consecutive naturals, for example, 178058790 + ... + 178060666.

Almost surely, 2^334218109456 is an apocalyptic number.

334218109456 is the 578116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334218109456

334218109456 is an abundant number, since it is smaller than the sum of its proper divisors (494197310621).

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

334218109456 is an equidigital number, since it uses as much as digits as its factorization.

334218109456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3798 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 334218109456 in words is "three hundred thirty-four billion, two hundred eighteen million, one hundred nine thousand, four hundred fifty-six".