213920684512 has 96 divisors (see below), whose sum is σ = 437861350080. Its totient is φ = 102756433920.

The previous prime is 213920684507. The next prime is 213920684531. The reversal of 213920684512 is 215486029312.

213920684512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 287914413 + ... + 287915155.

It is an arithmetic number, because the mean of its divisors is an integer number (4561055730).

Almost surely, 2^213920684512 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 213920684512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218930675040).

213920684512 is an abundant number, since it is smaller than the sum of its proper divisors (223940665568).

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

213920684512 is a wasteful number, since it uses less digits than its factorization.

213920684512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 213920684512 in words is "two hundred thirteen billion, nine hundred twenty million, six hundred eighty-four thousand, five hundred twelve".