349483151241 has 27 divisors (see below), whose sum is σ = 587247652173. Its totient is φ = 199697563800.

The previous prime is 349483151239. The next prime is 349483151267. The reversal of 349483151241 is 142151384943.

The square root of 349483151241 is 591171.

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

349483151241 is a `hidden beast` number, since 3 + 4 + 94 + 8 + 3 + 1 + 512 + 41 = 666.

It is not a de Polignac number, because 349483151241 - 2¹ = 349483151239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (349483151231) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12400516 + ... + 12428666.

Almost surely, 2^349483151241 is an apocalyptic number.

349483151241 is the 591171-st square number.

349483151241 is the 295586-th centered octagonal number.

It is an amenable number.

349483151241 is a deficient number, since it is larger than the sum of its proper divisors (237764500932).

349483151241 is an frugal number, since it uses more digits than its factorization.

349483151241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56322 (or 28161 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 349483151241 in words is "three hundred forty-nine billion, four hundred eighty-three million, one hundred fifty-one thousand, two hundred forty-one".