213594252192 has 144 divisors (see below), whose sum is σ = 644133115080. Its totient is φ = 66906341376.

The previous prime is 213594252167. The next prime is 213594252197. The reversal of 213594252192 is 291252495312.

213594252192 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 9 + 425 + 219 + 2 = 666.

213594252192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 133140333456 + 80453918736 = 364884^2 + 283644^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (213594252197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3163684 + ... + 3230492.

Almost surely, 2^213594252192 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 213594252192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322066557540).

213594252192 is an abundant number, since it is smaller than the sum of its proper divisors (430538862888).

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

213594252192 is a wasteful number, since it uses less digits than its factorization.

213594252192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67495 (or 67484 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 213594252192 in words is "two hundred thirteen billion, five hundred ninety-four million, two hundred fifty-two thousand, one hundred ninety-two".