334023414401 has 2 divisors, whose sum is σ = 334023414402. Its totient is φ = 334023414400.

The previous prime is 334023414367. The next prime is 334023414409. The reversal of 334023414401 is 104414320433.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 217589596225 + 116433818176 = 466465^2 + 341224^2 .

It is a cyclic number.

It is not a de Polignac number, because 334023414401 - 2²² = 334019220097 is a prime.

It is a super-2 number, since 2×334023414401² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (334023414409) by changing a digit.

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 as a sum of consecutive naturals, namely, 167011707200 + 167011707201.

It is an arithmetic number, because the mean of its divisors is an integer number (167011707201).

Almost surely, 2^334023414401 is an apocalyptic number.

It is an amenable number.

334023414401 is a deficient number, since it is larger than the sum of its proper divisors (1).

334023414401 is an equidigital number, since it uses as much as digits as its factorization.

334023414401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 334023414401 its reverse (104414320433), we get a palindrome (438437734834).

The spelling of 334023414401 in words is "three hundred thirty-four billion, twenty-three million, four hundred fourteen thousand, four hundred one".