352318848000 has 352 divisors, whose sum is σ = 1339375484928. Its totient is φ = 80529408000.

The previous prime is 352318847977. The next prime is 352318848019. The reversal of 352318848000 is 848813253.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 2622465 + ... + 2753535.

Almost surely, 2^352318848000 is an apocalyptic number.

352318848000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352318848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669687742464).

352318848000 is an abundant number, since it is smaller than the sum of its proper divisors (987056636928).

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

352318848000 is a wasteful number, since it uses less digits than its factorization.

352318848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131116 (or 131088 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 352318848000 in words is "three hundred fifty-two billion, three hundred eighteen million, eight hundred forty-eight thousand".