348432045345 has 24 divisors (see below), whose sum is σ = 604656974376. Its totient is φ = 185612548608.

The previous prime is 348432045343. The next prime is 348432045419. The reversal of 348432045345 is 543540234843.

348432045345 is a `hidden beast` number, since 3 + 4 + 84 + 32 + 0 + 4 + 534 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 398122209 + 348033923136 = 19953^2 + 589944^2 .

It is not a de Polignac number, because 348432045345 - 2¹ = 348432045343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 348432045345.

It is not an unprimeable number, because it can be changed into a prime (348432045343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4500264 + ... + 4577033.

It is an arithmetic number, because the mean of its divisors is an integer number (25194040599).

Almost surely, 2^348432045345 is an apocalyptic number.

It is an amenable number.

348432045345 is a deficient number, since it is larger than the sum of its proper divisors (256224929031).

348432045345 is a wasteful number, since it uses less digits than its factorization.

348432045345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9078161 (or 9078158 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

The spelling of 348432045345 in words is "three hundred forty-eight billion, four hundred thirty-two million, forty-five thousand, three hundred forty-five".