352566450432 has 216 divisors, whose sum is σ = 1201817547840. Its totient is φ = 97259581440.

The previous prime is 352566450427. The next prime is 352566450443. The reversal of 352566450432 is 234054665253.

352566450432 is a `hidden beast` number, since 3 + 5 + 2 + 56 + 64 + 504 + 32 = 666.

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 23 ways as a sum of consecutive naturals, for example, 90807 + ... + 844617.

Almost surely, 2^352566450432 is an apocalyptic number.

352566450432 is a gapful number since it is divisible by the number (32) 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 352566450432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600908773920).

352566450432 is an abundant number, since it is smaller than the sum of its proper divisors (849251097408).

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

352566450432 is a wasteful number, since it uses less digits than its factorization.

352566450432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753869 (or 753852 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

The spelling of 352566450432 in words is "three hundred fifty-two billion, five hundred sixty-six million, four hundred fifty thousand, four hundred thirty-two".