211431643264 has 64 divisors (see below), whose sum is σ = 429642506880. Its totient is φ = 103604300800.

The previous prime is 211431643261. The next prime is 211431643273. The reversal of 211431643264 is 462346134112.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (211431643261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6163119 + ... + 6197329.

It is an arithmetic number, because the mean of its divisors is an integer number (6713164170).

Almost surely, 2^211431643264 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 211431643264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214821253440).

211431643264 is an abundant number, since it is smaller than the sum of its proper divisors (218210863616).

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

211431643264 is an equidigital number, since it uses as much as digits as its factorization.

211431643264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35189 (or 35177 counting only the distinct ones).

The product of its digits is 82944, while the sum is 37.

Adding to 211431643264 its reverse (462346134112), we get a palindrome (673777777376).

The spelling of 211431643264 in words is "two hundred eleven billion, four hundred thirty-one million, six hundred forty-three thousand, two hundred sixty-four".