348484737461801 has 2 divisors, whose sum is σ = 348484737461802. Its totient is φ = 348484737461800.

The previous prime is 348484737461771. The next prime is 348484737461803. The reversal of 348484737461801 is 108164737484843.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 310562233946176 + 37922503515625 = 17622776^2 + 6158125^2 .

It is a cyclic number.

It is not a de Polignac number, because 348484737461801 - 2¹⁴ = 348484737445417 is a prime.

It is a super-2 number, since 2×348484737461801² (a number of 30 digits) contains 22 as substring.

Together with 348484737461803, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (348484737461803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 174242368730900 + 174242368730901.

It is an arithmetic number, because the mean of its divisors is an integer number (174242368730901).

Almost surely, 2^{348484737461801} is an apocalyptic number.

It is an amenable number.

348484737461801 is a deficient number, since it is larger than the sum of its proper divisors (1).

348484737461801 is an equidigital number, since it uses as much as digits as its factorization.

348484737461801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 346816512, while the sum is 68.

The spelling of 348484737461801 in words is "three hundred forty-eight trillion, four hundred eighty-four billion, seven hundred thirty-seven million, four hundred sixty-one thousand, eight hundred one".