211630831104 has 640 divisors, whose sum is σ = 729243896832. Its totient is φ = 52942602240.

The previous prime is 211630831081. The next prime is 211630831117. The reversal of 211630831104 is 401138036112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 599520592 + ... + 599520944.

Almost surely, 2^211630831104 is an apocalyptic number.

211630831104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211630831104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364621948416).

211630831104 is an abundant number, since it is smaller than the sum of its proper divisors (517613065728).

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

211630831104 is a wasteful number, since it uses less digits than its factorization.

211630831104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 211630831104 its reverse (401138036112), we get a palindrome (612768867216).

It can be divided in two parts, 2116308 and 31104, that added together give a palindrome (2147412).

The spelling of 211630831104 in words is "two hundred eleven billion, six hundred thirty million, eight hundred thirty-one thousand, one hundred four".