349658576133 has 16 divisors (see below), whose sum is σ = 472718272320. Its totient is φ = 229869651456.

The previous prime is 349658576063. The next prime is 349658576153. The reversal of 349658576133 is 331675856943.

It is not a de Polignac number, because 349658576133 - 2¹⁷ = 349658445061 is a prime.

It is a super-2 number, since 2×349658576133² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349658576153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2088303 + ... + 2249516.

It is an arithmetic number, because the mean of its divisors is an integer number (29544892020).

Almost surely, 2^349658576133 is an apocalyptic number.

It is an amenable number.

349658576133 is a deficient number, since it is larger than the sum of its proper divisors (123059696187).

349658576133 is a wasteful number, since it uses less digits than its factorization.

349658576133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4338196.

The product of its digits is 48988800, while the sum is 60.

The spelling of 349658576133 in words is "three hundred forty-nine billion, six hundred fifty-eight million, five hundred seventy-six thousand, one hundred thirty-three".