352973821456 has 45 divisors (see below), whose sum is σ = 726564962919. Its totient is φ = 166086316032.

The previous prime is 352973821441. The next prime is 352973821463. The reversal of 352973821456 is 654128379253.

The square root of 352973821456 is 594116.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 10421143056 + 342552678400 = 102084^2 + 585280^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 352973821397 and 352973821406.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 40395520 + ... + 40404256.

Almost surely, 2^352973821456 is an apocalyptic number.

352973821456 is the 594116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352973821456

352973821456 is an abundant number, since it is smaller than the sum of its proper divisors (373591141463).

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

352973821456 is an frugal number, since it uses more digits than its factorization.

352973821456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17516 (or 8756 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 55.

The spelling of 352973821456 in words is "three hundred fifty-two billion, nine hundred seventy-three million, eight hundred twenty-one thousand, four hundred fifty-six".