211643872704 has 448 divisors, whose sum is σ = 718572096000. Its totient is φ = 60476129280.

The previous prime is 211643872703. The next prime is 211643872711. The reversal of 211643872704 is 407278346112.

It is a self number, because there is not a number n which added to its sum of digits gives 211643872704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211643872703) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23698512 + ... + 23707440.

Almost surely, 2^211643872704 is an apocalyptic number.

211643872704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211643872704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359286048000).

211643872704 is an abundant number, since it is smaller than the sum of its proper divisors (506928223296).

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

211643872704 is a wasteful number, since it uses less digits than its factorization.

211643872704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9033 (or 9017 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 211643872704 in words is "two hundred eleven billion, six hundred forty-three million, eight hundred seventy-two thousand, seven hundred four".