211146738 has 64 divisors (see below), whose sum is σ = 481489920. Its totient is φ = 61140800.

The previous prime is 211146737. The next prime is 211146757. The reversal of 211146738 is 837641112.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 211146699 and 211146708.

It is not an unprimeable number, because it can be changed into a prime (211146737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204283 + ... + 205313.

It is an arithmetic number, because the mean of its divisors is an integer number (7523280).

Almost surely, 2^211146738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211146738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240744960).

211146738 is an abundant number, since it is smaller than the sum of its proper divisors (270343182).

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

211146738 is a wasteful number, since it uses less digits than its factorization.

211146738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183.

The product of its digits is 8064, while the sum is 33.

The square root of 211146738 is about 14530.8890987441. The cubic root of 211146738 is about 595.4721558860.

The spelling of 211146738 in words is "two hundred eleven million, one hundred forty-six thousand, seven hundred thirty-eight".