212908749768 has 768 divisors, whose sum is σ = 766253779200. Its totient is φ = 52314439680.

The previous prime is 212908749719. The next prime is 212908749791. The reversal of 212908749768 is 867947809212.

212908749768 is a `hidden beast` number, since 2 + 1 + 2 + 9 + 0 + 87 + 497 + 68 = 666.

212908749768 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 242768946 + ... + 242769822.

It is an arithmetic number, because the mean of its divisors is an integer number (997726275).

Almost surely, 2^212908749768 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 212908749768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383126889600).

212908749768 is an abundant number, since it is smaller than the sum of its proper divisors (553345029432).

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

212908749768 is a wasteful number, since it uses less digits than its factorization.

212908749768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 212908749768 in words is "two hundred twelve billion, nine hundred eight million, seven hundred forty-nine thousand, seven hundred sixty-eight".