211314048 has 128 divisors (see below), whose sum is σ = 644803200. Its totient is φ = 60641280.

The previous prime is 211314043. The next prime is 211314071. The reversal of 211314048 is 840413112.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211314043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78940 + ... + 81572.

It is an arithmetic number, because the mean of its divisors is an integer number (5037525).

Almost surely, 2^211314048 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 211314048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322401600).

211314048 is an abundant number, since it is smaller than the sum of its proper divisors (433489152).

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

211314048 is a wasteful number, since it uses less digits than its factorization.

211314048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2680 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 211314048 is about 14536.6450049521. The cubic root of 211314048 is about 595.6293958922.

It can be divided in two parts, 2113 and 14048, that added together give a palindrome (16161).

The spelling of 211314048 in words is "two hundred eleven million, three hundred fourteen thousand, forty-eight".