352520866668544 has 224 divisors, whose sum is σ = 811857431278080. Its totient is φ = 149930938662912.

The previous prime is 352520866668493. The next prime is 352520866668617. The reversal of 352520866668544 is 445866668025253.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×352520866668544² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6384022567 + ... + 6384077785.

Almost surely, 2^{352520866668544} 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 352520866668544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405928715639040).

352520866668544 is an abundant number, since it is smaller than the sum of its proper divisors (459336564609536).

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

352520866668544 is an equidigital number, since it uses as much as digits as its factorization.

352520866668544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56098 (or 56074 counting only the distinct ones).

The product of its (nonzero) digits is 1990656000, while the sum is 70.

The spelling of 352520866668544 in words is "three hundred fifty-two trillion, five hundred twenty billion, eight hundred sixty-six million, six hundred sixty-eight thousand, five hundred forty-four".