211138488 has 160 divisors (see below), whose sum is σ = 679536000. Its totient is φ = 60575040.

The previous prime is 211138441. The next prime is 211138511. The reversal of 211138488 is 884831112.

211138488 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211138488² = 89158922229852288, which contains 22 as substring.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 134653 + ... + 136211.

It is an arithmetic number, because the mean of its divisors is an integer number (4247100).

Almost surely, 2^211138488 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 211138488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339768000).

211138488 is an abundant number, since it is smaller than the sum of its proper divisors (468397512).

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

211138488 is a wasteful number, since it uses less digits than its factorization.

211138488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1594 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 211138488 is about 14530.6052179529. The cubic root of 211138488 is about 595.4644002854.

The spelling of 211138488 in words is "two hundred eleven million, one hundred thirty-eight thousand, four hundred eighty-eight".