352648242216 has 256 divisors, whose sum is σ = 1063474790400. Its totient is φ = 107842710528.

The previous prime is 352648242197. The next prime is 352648242217. The reversal of 352648242216 is 612242846253.

It is a happy number.

352648242216 is a `hidden beast` number, since 3 + 526 + 4 + 82 + 42 + 2 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (352648242217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88893465 + ... + 88897431.

It is an arithmetic number, because the mean of its divisors is an integer number (4154198400).

Almost surely, 2^352648242216 is an apocalyptic number.

352648242216 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 352648242216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531737395200).

352648242216 is an abundant number, since it is smaller than the sum of its proper divisors (710826548184).

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

352648242216 is a wasteful number, since it uses less digits than its factorization.

352648242216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4605 (or 4595 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 352648242216 in words is "three hundred fifty-two billion, six hundred forty-eight million, two hundred forty-two thousand, two hundred sixteen".