211968579456 has 256 divisors, whose sum is σ = 697268736000. Its totient is φ = 62999617536.

The previous prime is 211968579367. The next prime is 211968579461. The reversal of 211968579456 is 654975869112.

211968579456 is a `hidden beast` number, since 2 + 1 + 1 + 9 + 6 + 8 + 579 + 4 + 56 = 666.

211968579456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 211968579393 and 211968579402.

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 31 ways as a sum of consecutive naturals, for example, 1021345 + ... + 1211231.

It is an arithmetic number, because the mean of its divisors is an integer number (2723706000).

Almost surely, 2^211968579456 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 211968579456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348634368000).

211968579456 is an abundant number, since it is smaller than the sum of its proper divisors (485300156544).

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

211968579456 is a wasteful number, since it uses less digits than its factorization.

211968579456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189946 (or 189928 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 63.

The spelling of 211968579456 in words is "two hundred eleven billion, nine hundred sixty-eight million, five hundred seventy-nine thousand, four hundred fifty-six".