352620148608 has 640 divisors, whose sum is σ = 1305212905920. Its totient is φ = 92016082944.

The previous prime is 352620148583. The next prime is 352620148609. The reversal of 352620148608 is 806841026253.

352620148608 is a `hidden beast` number, since 3 + 5 + 2 + 6 + 20 + 14 + 8 + 608 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352620148609) 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 79 ways as a sum of consecutive naturals, for example, 91516410 + ... + 91520262.

Almost surely, 2^352620148608 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 352620148608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652606452960).

352620148608 is an abundant number, since it is smaller than the sum of its proper divisors (952592757312).

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

352620148608 is a wasteful number, since it uses less digits than its factorization.

352620148608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3996 (or 3975 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 352620148608 in words is "three hundred fifty-two billion, six hundred twenty million, one hundred forty-eight thousand, six hundred eight".