353404145205 has 64 divisors (see below), whose sum is σ = 629818675200. Its totient is φ = 188019509760.

The previous prime is 353404145137. The next prime is 353404145207. The reversal of 353404145205 is 502541404353.

353404145205 is a `hidden beast` number, since 3 + 5 + 3 + 404 + 1 + 45 + 205 = 666.

It is not a de Polignac number, because 353404145205 - 2¹³ = 353404137013 is a prime.

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 353404145205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353404145207) 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 63 ways as a sum of consecutive naturals, for example, 122750956 + ... + 122753834.

It is an arithmetic number, because the mean of its divisors is an integer number (9840916800).

Almost surely, 2^353404145205 is an apocalyptic number.

It is an amenable number.

353404145205 is a deficient number, since it is larger than the sum of its proper divisors (276414529995).

353404145205 is a wasteful number, since it uses less digits than its factorization.

353404145205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4811 (or 4805 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 353404145205 its reverse (502541404353), we get a palindrome (855945549558).

The spelling of 353404145205 in words is "three hundred fifty-three billion, four hundred four million, one hundred forty-five thousand, two hundred five".