352334961216 has 392 divisors, whose sum is σ = 1201858952640. Its totient is φ = 100344738816.

The previous prime is 352334961193. The next prime is 352334961217. The reversal of 352334961216 is 612169433253.

352334961216 is a `hidden beast` number, since 3 + 5 + 2 + 33 + 496 + 121 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (352334961217) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 113325870 + ... + 113328978.

Almost surely, 2^352334961216 is an apocalyptic number.

352334961216 is a gapful number since it is divisible by the number (36) 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 352334961216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600929476320).

352334961216 is an abundant number, since it is smaller than the sum of its proper divisors (849523991424).

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

352334961216 is an equidigital number, since it uses as much as digits as its factorization.

352334961216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3493 (or 3468 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The spelling of 352334961216 in words is "three hundred fifty-two billion, three hundred thirty-four million, nine hundred sixty-one thousand, two hundred sixteen".