349539182065089 has 27 divisors (see below), whose sum is σ = 505408070860329. Its totient is φ = 232787224310400.

The previous prime is 349539182065079. The next prime is 349539182065093. The reversal of 349539182065089 is 980560281935943.

It is a happy number.

The square root of 349539182065089 is 18695967.

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

349539182065089 is a `hidden beast` number, since 3 + 4 + 9 + 5 + 3 + 91 + 8 + 20 + 6 + 508 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62254987773489 + 287284194291600 = 7890183^2 + 16949460^2 .

It is not a de Polignac number, because 349539182065089 - 2²³ = 349539173676481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (349539182065079) 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, 67361566507 + ... + 67361571695.

Almost surely, 2^{349539182065089} is an apocalyptic number.

349539182065089 is the 18695967-th square number.

349539182065089 is the 9347984-th centered octagonal number.

It is an amenable number.

349539182065089 is a deficient number, since it is larger than the sum of its proper divisors (155868888795240).

349539182065089 is an frugal number, since it uses more digits than its factorization.

349539182065089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12786 (or 6393 counting only the distinct ones).

The product of its (nonzero) digits is 503884800, while the sum is 72.

The spelling of 349539182065089 in words is "three hundred forty-nine trillion, five hundred thirty-nine billion, one hundred eighty-two million, sixty-five thousand, eighty-nine".