346966578604801 has 2 divisors, whose sum is σ = 346966578604802. Its totient is φ = 346966578604800.

The previous prime is 346966578604787. The next prime is 346966578604853. The reversal of 346966578604801 is 108406875669643.

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., 226490490259201 + 120476088345600 = 15049601^2 + 10976160^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-346966578604801 is a prime.

It is not a weakly prime, because it can be changed into another prime (346966578608801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 173483289302400 + 173483289302401.

It is an arithmetic number, because the mean of its divisors is an integer number (173483289302401).

Almost surely, 2^{346966578604801} is an apocalyptic number.

It is an amenable number.

346966578604801 is a deficient number, since it is larger than the sum of its proper divisors (1).

346966578604801 is an equidigital number, since it uses as much as digits as its factorization.

346966578604801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1254113280, while the sum is 73.

The spelling of 346966578604801 in words is "three hundred forty-six trillion, nine hundred sixty-six billion, five hundred seventy-eight million, six hundred four thousand, eight hundred one".