434400004322113 has 8 divisors (see below), whose sum is σ = 435776442638760. Its totient is φ = 433023604316160.

The previous prime is 434400004322083. The next prime is 434400004322299. The reversal of 434400004322113 is 311223400004434.

It can be written as a sum of positive squares in 4 ways, for example, as 40190376009744 + 394209628312369 = 6339588^2 + 19854713^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 434400004322113 - 2²¹ = 434400002224961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (434400004322513) 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 7 ways as a sum of consecutive naturals, for example, 13221843 + ... + 32305063.

It is an arithmetic number, because the mean of its divisors is an integer number (54472055329845).

Almost surely, 2^{434400004322113} is an apocalyptic number.

It is an amenable number.

434400004322113 is a deficient number, since it is larger than the sum of its proper divisors (1376438316647).

434400004322113 is a wasteful number, since it uses less digits than its factorization.

434400004322113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19155347.

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 434400004322113 its reverse (311223400004434), we get a palindrome (745623404326547).

The spelling of 434400004322113 in words is "four hundred thirty-four trillion, four hundred billion, four million, three hundred twenty-two thousand, one hundred thirteen".