352852820046 has 72 divisors (see below), whose sum is σ = 816996332880. Its totient is φ = 110035785216.

The previous prime is 352852820039. The next prime is 352852820071. The reversal of 352852820046 is 640028258253.

352852820046 is a `hidden beast` number, since 3 + 528 + 5 + 2 + 82 + 0 + 0 + 46 = 666.

It is a super-2 number, since 2×352852820046² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 352852819983 and 352852820010.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 665650 + ... + 1071818.

It is an arithmetic number, because the mean of its divisors is an integer number (11347171290).

Almost surely, 2^352852820046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352852820046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408498166440).

352852820046 is an abundant number, since it is smaller than the sum of its proper divisors (464143512834).

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

352852820046 is a wasteful number, since it uses less digits than its factorization.

352852820046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406378 (or 406358 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 352852820046 in words is "three hundred fifty-two billion, eight hundred fifty-two million, eight hundred twenty thousand, forty-six".