352465056768 has 176 divisors, whose sum is σ = 1026685197504. Its totient is φ = 106616586240.

The previous prime is 352465056743. The next prime is 352465056803. The reversal of 352465056768 is 867650564253.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19488946 + ... + 19507022.

Almost surely, 2^352465056768 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 352465056768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513342598752).

352465056768 is an abundant number, since it is smaller than the sum of its proper divisors (674220140736).

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

352465056768 is a wasteful number, since it uses less digits than its factorization.

352465056768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18688 (or 18670 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 57.

The spelling of 352465056768 in words is "three hundred fifty-two billion, four hundred sixty-five million, fifty-six thousand, seven hundred sixty-eight".