213452014328532 has 192 divisors, whose sum is σ = 645930905518080. Its totient is φ = 59686482009600.

The previous prime is 213452014328521. The next prime is 213452014328537. The reversal of 213452014328532 is 235823410254312.

213452014328532 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 5 + 201 + 432 + 8 + 5 + 3 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213452014328537) by changing a digit.

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, 1105694857 + ... + 1105887887.

It is an arithmetic number, because the mean of its divisors is an integer number (3364223466240).

Almost surely, 2^{213452014328532} 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 213452014328532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322965452759040).

213452014328532 is an abundant number, since it is smaller than the sum of its proper divisors (432478891189548).

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

213452014328532 is a wasteful number, since it uses less digits than its factorization.

213452014328532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224219 (or 224211 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 213452014328532 in words is "two hundred thirteen trillion, four hundred fifty-two billion, fourteen million, three hundred twenty-eight thousand, five hundred thirty-two".