352580993018688 has 448 divisors, whose sum is σ = 1130764763266560. Its totient is φ = 94651173568512.

The previous prime is 352580993018623. The next prime is 352580993018693. The reversal of 352580993018688 is 886810399085253.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36091815468 + ... + 36091825236.

Almost surely, 2^{352580993018688} 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 352580993018688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565382381633280).

352580993018688 is an abundant number, since it is smaller than the sum of its proper divisors (778183770247872).

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

352580993018688 is a wasteful number, since it uses less digits than its factorization.

352580993018688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12322 (or 12312 counting only the distinct ones).

The product of its (nonzero) digits is 895795200, while the sum is 75.

The spelling of 352580993018688 in words is "three hundred fifty-two trillion, five hundred eighty billion, nine hundred ninety-three million, eighteen thousand, six hundred eighty-eight".