352212352966656 has 2688 divisors, whose sum is σ = 1346860637337600. Its totient is φ = 88566674227200.

The previous prime is 352212352966627. The next prime is 352212352966667. The reversal of 352212352966656 is 656669253212253.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 352212352966593 and 352212352966602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2533901819835 + ... + 2533901819973.

It is an arithmetic number, because the mean of its divisors is an integer number (501064225200).

Almost surely, 2^{352212352966656} is an apocalyptic number.

352212352966656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352212352966656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673430318668800).

352212352966656 is an abundant number, since it is smaller than the sum of its proper divisors (994648284370944).

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

352212352966656 is a wasteful number, since it uses less digits than its factorization.

352212352966656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 326 counting only the distinct ones).

The product of its digits is 209952000, while the sum is 63.

The spelling of 352212352966656 in words is "three hundred fifty-two trillion, two hundred twelve billion, three hundred fifty-two million, nine hundred sixty-six thousand, six hundred fifty-six".