352659662248608 has 576 divisors, whose sum is σ = 1247653659942144. Its totient is φ = 92832657408000.

The previous prime is 352659662248577. The next prime is 352659662248609. The reversal of 352659662248608 is 806842266956253.

It is a happy number.

352659662248608 is a `hidden beast` number, since 3 + 5 + 2 + 6 + 5 + 9 + 6 + 6 + 2 + 2 + 4 + 8 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (352659662248609) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7443037078 + ... + 7443084458.

It is an arithmetic number, because the mean of its divisors is an integer number (2166065381844).

Almost surely, 2^{352659662248608} 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 352659662248608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623826829971072).

352659662248608 is an abundant number, since it is smaller than the sum of its proper divisors (894993997693536).

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

352659662248608 is a wasteful number, since it uses less digits than its factorization.

352659662248608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58069 (or 58058 counting only the distinct ones).

The product of its (nonzero) digits is 1791590400, while the sum is 72.

The spelling of 352659662248608 in words is "three hundred fifty-two trillion, six hundred fifty-nine billion, six hundred sixty-two million, two hundred forty-eight thousand, six hundred eight".