349613220961 has 9 divisors (see below), whose sum is σ = 362102320281. Its totient is φ = 337541036784.

The previous prime is 349613220959. The next prime is 349613221091. The reversal of 349613220961 is 169022316943.

The square root of 349613220961 is 591281.

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

It can be written as a sum of positive squares in 4 ways, for example, as 111234923361 + 238378297600 = 333519^2 + 488240^2 .

It is not a de Polignac number, because 349613220961 - 2¹ = 349613220959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (349610220961) 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, 17136955 + ... + 17157343.

Almost surely, 2^349613220961 is an apocalyptic number.

349613220961 is the 591281-st square number.

349613220961 is the 295641-st centered octagonal number.

It is an amenable number.

349613220961 is a deficient number, since it is larger than the sum of its proper divisors (12489099320).

349613220961 is an frugal number, since it uses more digits than its factorization.

349613220961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40836 (or 20418 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 46.

The spelling of 349613220961 in words is "three hundred forty-nine billion, six hundred thirteen million, two hundred twenty thousand, nine hundred sixty-one".