352129910496 has 576 divisors, whose sum is σ = 1252007608320. Its totient is φ = 85593231360.

The previous prime is 352129910491. The next prime is 352129910497. The reversal of 352129910496 is 694019921253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352129910491) 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 95 ways as a sum of consecutive naturals, for example, 42985761 + ... + 42993951.

It is an arithmetic number, because the mean of its divisors is an integer number (2173624320).

Almost surely, 2^352129910496 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 352129910496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626003804160).

352129910496 is an abundant number, since it is smaller than the sum of its proper divisors (899877697824).

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

352129910496 is a wasteful number, since it uses less digits than its factorization.

352129910496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8287 (or 8272 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 51.

The spelling of 352129910496 in words is "three hundred fifty-two billion, one hundred twenty-nine million, nine hundred ten thousand, four hundred ninety-six".