211867231328256 has 384 divisors, whose sum is σ = 654606497825280. Its totient is φ = 59688537292800.

The previous prime is 211867231328231. The next prime is 211867231328261. The reversal of 211867231328256 is 652823132768112.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 211867231328196 and 211867231328205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 884425776 + ... + 884665296.

It is an arithmetic number, because the mean of its divisors is an integer number (1704704421420).

Almost surely, 2^{211867231328256} 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 211867231328256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327303248912640).

211867231328256 is an abundant number, since it is smaller than the sum of its proper divisors (442739266497024).

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

211867231328256 is a wasteful number, since it uses less digits than its factorization.

211867231328256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239841 (or 239821 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 57.

The spelling of 211867231328256 in words is "two hundred eleven trillion, eight hundred sixty-seven billion, two hundred thirty-one million, three hundred twenty-eight thousand, two hundred fifty-six".