349121863148801 has 2 divisors, whose sum is σ = 349121863148802. Its totient is φ = 349121863148800.

The previous prime is 349121863148783. The next prime is 349121863148827. The reversal of 349121863148801 is 108841368121943.

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., 301947617689600 + 47174245459201 = 17376640^2 + 6868351^2 .

It is a cyclic number.

It is not a de Polignac number, because 349121863148801 - 2¹⁴ = 349121863132417 is a prime.

It is not a weakly prime, because it can be changed into another prime (349121863148101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 174560931574400 + 174560931574401.

It is an arithmetic number, because the mean of its divisors is an integer number (174560931574401).

Almost surely, 2^{349121863148801} is an apocalyptic number.

It is an amenable number.

349121863148801 is a deficient number, since it is larger than the sum of its proper divisors (1).

349121863148801 is an equidigital number, since it uses as much as digits as its factorization.

349121863148801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7962624, while the sum is 59.

The spelling of 349121863148801 in words is "three hundred forty-nine trillion, one hundred twenty-one billion, eight hundred sixty-three million, one hundred forty-eight thousand, eight hundred one".