211834983920704 has 63 divisors (see below), whose sum is σ = 424277360796261. Its totient is φ = 104939484284160.

The previous prime is 211834983920663. The next prime is 211834983920719. The reversal of 211834983920704 is 407029389438112.

The square root of 211834983920704 is 14554552.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 147647967498304 + 64187016422400 = 12151048^2 + 8011680^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12691560999 + ... + 12691577689.

Almost surely, 2^{211834983920704} is an apocalyptic number.

211834983920704 is the 14554552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211834983920704

211834983920704 is an abundant number, since it is smaller than the sum of its proper divisors (212442376875557).

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

211834983920704 is an frugal number, since it uses more digits than its factorization.

211834983920704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33612 (or 16802 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 61.

The spelling of 211834983920704 in words is "two hundred eleven trillion, eight hundred thirty-four billion, nine hundred eighty-three million, nine hundred twenty thousand, seven hundred four".