213308227584 has 180 divisors, whose sum is σ = 632875338004. Its totient is φ = 69179277312.

The previous prime is 213308227571. The next prime is 213308227609. The reversal of 213308227584 is 485722803312.

213308227584 is a `hidden beast` number, since 2 + 13 + 30 + 8 + 2 + 27 + 584 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 144521625600 + 68786601984 = 380160^2 + 262272^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5436324 + ... + 5475420.

Almost surely, 2^213308227584 is an apocalyptic number.

213308227584 is a gapful number since it is divisible by the number (24) 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 213308227584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316437669002).

213308227584 is an abundant number, since it is smaller than the sum of its proper divisors (419567110420).

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

213308227584 is an equidigital number, since it uses as much as digits as its factorization.

213308227584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39168 (or 39139 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 213308227584 in words is "two hundred thirteen billion, three hundred eight million, two hundred twenty-seven thousand, five hundred eighty-four".