211349833984 has 81 divisors (see below), whose sum is σ = 430028696307. Its totient is φ = 103670502912.

The previous prime is 211349833939. The next prime is 211349833999. The reversal of 211349833984 is 489338943112.

The square root of 211349833984 is 459728.

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

It is a super-2 number, since 2×211349833984² (a number of 23 digits) contains 22 as substring.

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, 433982989 + ... + 433983475.

Almost surely, 2^211349833984 is an apocalyptic number.

211349833984 is the 459728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211349833984

211349833984 is an abundant number, since it is smaller than the sum of its proper divisors (218678862323).

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

211349833984 is an frugal number, since it uses more digits than its factorization.

211349833984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 548 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 55.

The spelling of 211349833984 in words is "two hundred eleven billion, three hundred forty-nine million, eight hundred thirty-three thousand, nine hundred eighty-four".