352115179656864 has 192 divisors, whose sum is σ = 996627291601536. Its totient is φ = 108209862918144.

The previous prime is 352115179656839. The next prime is 352115179656871. The reversal of 352115179656864 is 468656971511253.

It is a happy number.

It is a super-2 number, since 2×352115179656864² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8404284364 + ... + 8404326260.

It is an arithmetic number, because the mean of its divisors is an integer number (5190767143758).

Almost surely, 2^{352115179656864} 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 352115179656864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498313645800768).

352115179656864 is an abundant number, since it is smaller than the sum of its proper divisors (644512111944672).

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

352115179656864 is a wasteful number, since it uses less digits than its factorization.

352115179656864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50047 (or 50039 counting only the distinct ones).

The product of its digits is 326592000, while the sum is 69.

The spelling of 352115179656864 in words is "three hundred fifty-two trillion, one hundred fifteen billion, one hundred seventy-nine million, six hundred fifty-six thousand, eight hundred sixty-four".