211848048 has 100 divisors (see below), whose sum is σ = 633048768. Its totient is φ = 68325120.

The previous prime is 211848047. The next prime is 211848061. The reversal of 211848048 is 840848112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211848047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37540 + ... + 42812.

Almost surely, 2^211848048 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 211848048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316524384).

211848048 is an abundant number, since it is smaller than the sum of its proper divisors (421200720).

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

211848048 is a wasteful number, since it uses less digits than its factorization.

211848048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5324 (or 5309 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 211848048 is about 14555.0007901065. Note that the first 3 decimals coincide. The cubic root of 211848048 is about 596.1307011825.

The spelling of 211848048 in words is "two hundred eleven million, eight hundred forty-eight thousand, forty-eight".