352050313104 has 120 divisors (see below), whose sum is σ = 1126373264640. Its totient is φ = 100552656384.

The previous prime is 352050313091. The next prime is 352050313127. The reversal of 352050313104 is 401313050253.

352050313104 is a `hidden beast` number, since 3 + 5 + 20 + 503 + 131 + 0 + 4 = 666.

It is a super-2 number, since 2×352050313104² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3087964 + ... + 3199940.

It is an arithmetic number, because the mean of its divisors is an integer number (9386443872).

Almost surely, 2^352050313104 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 352050313104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563186632320).

352050313104 is an abundant number, since it is smaller than the sum of its proper divisors (774322951536).

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

352050313104 is a wasteful number, since it uses less digits than its factorization.

352050313104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115117 (or 115108 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 352050313104 its reverse (401313050253), we get a palindrome (753363363357).

The spelling of 352050313104 in words is "three hundred fifty-two billion, fifty million, three hundred thirteen thousand, one hundred four".