349121863148809 has 9 divisors (see below), whose sum is σ = 356708930374407. Its totient is φ = 341692878900024.

The previous prime is 349121863148801. The next prime is 349121863148827. The reversal of 349121863148809 is 908841368121943.

The square root of 349121863148809 is 18684803.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 296392480898809 + 52729382250000 = 17216053^2 + 7261500^2 .

It is not a de Polignac number, because 349121863148809 - 2³ = 349121863148801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (349121863148801) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 877986967 + ... + 878384515.

Almost surely, 2^{349121863148809} is an apocalyptic number.

349121863148809 is the 18684803-rd square number.

349121863148809 is the 9342402-nd centered octagonal number.

It is an amenable number.

349121863148809 is a deficient number, since it is larger than the sum of its proper divisors (7587067225598).

349121863148809 is an frugal number, since it uses more digits than its factorization.

349121863148809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795192 (or 397596 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 67.

The spelling of 349121863148809 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 nine".