334400112411217 has 2 divisors, whose sum is σ = 334400112411218. Its totient is φ = 334400112411216.

The previous prime is 334400112411193. The next prime is 334400112411251. The reversal of 334400112411217 is 712114211004433.

It is an a-pointer prime, because the next prime (334400112411251) can be obtained adding 334400112411217 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 269917429738896 + 64482682672321 = 16429164^2 + 8030111^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-334400112411217 is a prime.

It is a super-2 number, since 2×334400112411217² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (334400112411017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 167200056205608 + 167200056205609.

It is an arithmetic number, because the mean of its divisors is an integer number (167200056205609).

Almost surely, 2^{334400112411217} is an apocalyptic number.

It is an amenable number.

334400112411217 is a deficient number, since it is larger than the sum of its proper divisors (1).

334400112411217 is an equidigital number, since it uses as much as digits as its factorization.

334400112411217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 334400112411217 in words is "three hundred thirty-four trillion, four hundred billion, one hundred twelve million, four hundred eleven thousand, two hundred seventeen".