346383851434001 has 2 divisors, whose sum is σ = 346383851434002. Its totient is φ = 346383851434000.

The previous prime is 346383851433967. The next prime is 346383851434007. The reversal of 346383851434001 is 100434158383643.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 279652842534976 + 66731008899025 = 16722824^2 + 8168905^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-346383851434001 is a prime.

It is not a weakly prime, because it can be changed into another prime (346383851434007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 173191925717000 + 173191925717001.

It is an arithmetic number, because the mean of its divisors is an integer number (173191925717001).

Almost surely, 2^{346383851434001} is an apocalyptic number.

It is an amenable number.

346383851434001 is a deficient number, since it is larger than the sum of its proper divisors (1).

346383851434001 is an equidigital number, since it uses as much as digits as its factorization.

346383851434001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9953280, while the sum is 53.

The spelling of 346383851434001 in words is "three hundred forty-six trillion, three hundred eighty-three billion, eight hundred fifty-one million, four hundred thirty-four thousand, one".