211463510016 has 384 divisors, whose sum is σ = 630400942080. Its totient is φ = 62499225600.

The previous prime is 211463510009. The next prime is 211463510047. The reversal of 211463510016 is 610015364112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 609404755 + ... + 609405101.

It is an arithmetic number, because the mean of its divisors is an integer number (1641669120).

Almost surely, 2^211463510016 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 211463510016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315200471040).

211463510016 is an abundant number, since it is smaller than the sum of its proper divisors (418937432064).

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

211463510016 is a wasteful number, since it uses less digits than its factorization.

211463510016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 211463510016 its reverse (610015364112), we get a palindrome (821478874128).

The spelling of 211463510016 in words is "two hundred eleven billion, four hundred sixty-three million, five hundred ten thousand, sixteen".