334114004729 has 2 divisors, whose sum is σ = 334114004730. Its totient is φ = 334114004728.

The previous prime is 334114004687. The next prime is 334114004737. The reversal of 334114004729 is 927400411433.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 298933375504 + 35180629225 = 546748^2 + 187565^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-334114004729 is a prime.

It is a super-2 number, since 2×334114004729² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334114004692 and 334114004701.

It is not a weakly prime, because it can be changed into another prime (334114004789) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 167057002364 + 167057002365.

It is an arithmetic number, because the mean of its divisors is an integer number (167057002365).

Almost surely, 2^334114004729 is an apocalyptic number.

It is an amenable number.

334114004729 is a deficient number, since it is larger than the sum of its proper divisors (1).

334114004729 is an equidigital number, since it uses as much as digits as its factorization.

334114004729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 38.

The spelling of 334114004729 in words is "three hundred thirty-four billion, one hundred fourteen million, four thousand, seven hundred twenty-nine".