353123242342304 has 144 divisors (see below), whose sum is σ = 809372625703488. Its totient is φ = 151215559907328.

The previous prime is 353123242342193. The next prime is 353123242342349. The reversal of 353123242342304 is 403243242321353.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17023720157 + ... + 17023740899.

It is an arithmetic number, because the mean of its divisors is an integer number (5620643234052).

Almost surely, 2^{353123242342304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353123242342304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404686312851744).

353123242342304 is an abundant number, since it is smaller than the sum of its proper divisors (456249383361184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

353123242342304 is a wasteful number, since it uses less digits than its factorization.

353123242342304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29067 (or 29052 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 41.

Adding to 353123242342304 its reverse (403243242321353), we get a palindrome (756366484663657).

The spelling of 353123242342304 in words is "three hundred fifty-three trillion, one hundred twenty-three billion, two hundred forty-two million, three hundred forty-two thousand, three hundred four".