348042242133 has 48 divisors (see below), whose sum is σ = 518458786560. Its totient is φ = 224858858112.

The previous prime is 348042242111. The next prime is 348042242153. The reversal of 348042242133 is 331242240843.

348042242133 is a `hidden beast` number, since 3 + 480 + 4 + 2 + 2 + 42 + 133 = 666.

It is not a de Polignac number, because 348042242133 - 2⁵ = 348042242101 is a prime.

It is a super-2 number, since 2×348042242133² (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 (348042242153) 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 47 ways as a sum of consecutive naturals, for example, 28431028 + ... + 28443266.

It is an arithmetic number, because the mean of its divisors is an integer number (10801224720).

Almost surely, 2^348042242133 is an apocalyptic number.

It is an amenable number.

348042242133 is a deficient number, since it is larger than the sum of its proper divisors (170416544427).

348042242133 is a wasteful number, since it uses less digits than its factorization.

348042242133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12858 (or 12855 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 348042242133 its reverse (331242240843), we get a palindrome (679284482976).

The spelling of 348042242133 in words is "three hundred forty-eight billion, forty-two million, two hundred forty-two thousand, one hundred thirty-three".