211283422848 has 192 divisors, whose sum is σ = 635187945600. Its totient is φ = 67284670464.

The previous prime is 211283422789. The next prime is 211283422877. The reversal of 211283422848 is 848224382112.

211283422848 is a `hidden beast` number, since 2 + 1 + 1 + 28 + 342 + 284 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×211283422848² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24345486 + ... + 24354162.

It is an arithmetic number, because the mean of its divisors is an integer number (3308270550).

Almost surely, 2^211283422848 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 211283422848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317593972800).

211283422848 is an abundant number, since it is smaller than the sum of its proper divisors (423904522752).

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

211283422848 is a wasteful number, since it uses less digits than its factorization.

211283422848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9639 (or 9624 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The spelling of 211283422848 in words is "two hundred eleven billion, two hundred eighty-three million, four hundred twenty-two thousand, eight hundred forty-eight".