352973748171312 has 240 divisors, whose sum is σ = 1048103551141920. Its totient is φ = 110508414566400.

The previous prime is 352973748171287. The next prime is 352973748171409. The reversal of 352973748171312 is 213171847379253.

352973748171312 is a `hidden beast` number, since 3 + 5 + 2 + 9 + 73 + 7 + 481 + 71 + 3 + 12 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 352973748171312.

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 47 ways as a sum of consecutive naturals, for example, 3456375612 + ... + 3456477732.

It is an arithmetic number, because the mean of its divisors is an integer number (4367098129758).

Almost surely, 2^{352973748171312} 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 352973748171312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524051775570960).

352973748171312 is an abundant number, since it is smaller than the sum of its proper divisors (695129802970608).

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

352973748171312 is a wasteful number, since it uses less digits than its factorization.

352973748171312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105052 (or 105043 counting only the distinct ones).

The product of its digits is 53343360, while the sum is 63.

The spelling of 352973748171312 in words is "three hundred fifty-two trillion, nine hundred seventy-three billion, seven hundred forty-eight million, one hundred seventy-one thousand, three hundred twelve".