353348325205120 has 256 divisors, whose sum is σ = 980162859110400. Its totient is φ = 119299235328000.

The previous prime is 353348325205079. The next prime is 353348325205171. The reversal of 353348325205120 is 21502523843353.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266207095 + ... + 267531145.

It is an arithmetic number, because the mean of its divisors is an integer number (3828761168400).

Almost surely, 2^{353348325205120} 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 353348325205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490081429555200).

353348325205120 is an abundant number, since it is smaller than the sum of its proper divisors (626814533905280).

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

353348325205120 is a wasteful number, since it uses less digits than its factorization.

353348325205120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324987 (or 1324975 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 46.

The spelling of 353348325205120 in words is "three hundred fifty-three trillion, three hundred forty-eight billion, three hundred twenty-five million, two hundred five thousand, one hundred twenty".