334385126400001 has 2 divisors, whose sum is σ = 334385126400002. Its totient is φ = 334385126400000.

The previous prime is 334385126399981. The next prime is 334385126400023. The reversal of 334385126400001 is 100004621583433.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 281883146469376 + 52501979930625 = 16789376^2 + 7245825^2 .

It is a cyclic number.

It is not a de Polignac number, because 334385126400001 - 2²³ = 334385118011393 is a prime.

It is a super-2 number, since 2×334385126400001² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (334385126404001) by changing a digit.

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 as a sum of consecutive naturals, namely, 167192563200000 + 167192563200001.

It is an arithmetic number, because the mean of its divisors is an integer number (167192563200001).

Almost surely, 2^{334385126400001} is an apocalyptic number.

It is an amenable number.

334385126400001 is a deficient number, since it is larger than the sum of its proper divisors (1).

334385126400001 is an equidigital number, since it uses as much as digits as its factorization.

334385126400001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 207360, while the sum is 40.

Adding to 334385126400001 its reverse (100004621583433), we get a palindrome (434389747983434).

The spelling of 334385126400001 in words is "three hundred thirty-four trillion, three hundred eighty-five billion, one hundred twenty-six million, four hundred thousand, one".