353661130368 has 1024 divisors, whose sum is σ = 1407756672000. Its totient is φ = 84722319360.

The previous prime is 353661130349. The next prime is 353661130369. The reversal of 353661130368 is 863031166353.

It is not an unprimeable number, because it can be changed into a prime (353661130369) 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 127 ways as a sum of consecutive naturals, for example, 155045388 + ... + 155047668.

It is an arithmetic number, because the mean of its divisors is an integer number (1374762375).

Almost surely, 2^353661130368 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 353661130368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703878336000).

353661130368 is an abundant number, since it is smaller than the sum of its proper divisors (1054095541632).

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

353661130368 is a wasteful number, since it uses less digits than its factorization.

353661130368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 353661130368 in words is "three hundred fifty-three billion, six hundred sixty-one million, one hundred thirty thousand, three hundred sixty-eight".