343414404133221 has 32 divisors (see below), whose sum is σ = 470908315680768. Its totient is φ = 222505113758400.

The previous prime is 343414404133169. The next prime is 343414404133237. The reversal of 343414404133221 is 122331404414343.

It is not a de Polignac number, because 343414404133221 - 2¹⁴ = 343414404116837 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 343414404133221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343414404137221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1272555 + ... + 26238296.

It is an arithmetic number, because the mean of its divisors is an integer number (14715884865024).

Almost surely, 2^{343414404133221} is an apocalyptic number.

It is an amenable number.

343414404133221 is a deficient number, since it is larger than the sum of its proper divisors (127493911547547).

343414404133221 is a wasteful number, since it uses less digits than its factorization.

343414404133221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27511521.

The product of its (nonzero) digits is 331776, while the sum is 39.

Adding to 343414404133221 its reverse (122331404414343), we get a palindrome (465745808547564).

The spelling of 343414404133221 in words is "three hundred forty-three trillion, four hundred fourteen billion, four hundred four million, one hundred thirty-three thousand, two hundred twenty-one".