213314844096 has 168 divisors, whose sum is σ = 620841353184. Its totient is φ = 70013583360.

The previous prime is 213314844053. The next prime is 213314844103. The reversal of 213314844096 is 690448413312.

213314844096 is a `hidden beast` number, since 2 + 13 + 31 + 484 + 40 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27201136 + ... + 27208976.

Almost surely, 2^213314844096 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 213314844096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310420676592).

213314844096 is an abundant number, since it is smaller than the sum of its proper divisors (407526509088).

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

213314844096 is a wasteful number, since it uses less digits than its factorization.

213314844096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8579 (or 8566 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 213314844096 in words is "two hundred thirteen billion, three hundred fourteen million, eight hundred forty-four thousand, ninety-six".