211749964704 has 144 divisors (see below), whose sum is σ = 616462656264. Its totient is φ = 68926464000.

The previous prime is 211749964691. The next prime is 211749964733. The reversal of 211749964704 is 407469947112.

211749964704 is a `hidden beast` number, since 2 + 11 + 74 + 9 + 96 + 470 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 208801474704 + 2948490000 = 456948^2 + 54300^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2073564 + ... + 2173284.

Almost surely, 2^211749964704 is an apocalyptic number.

211749964704 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 211749964704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308231328132).

211749964704 is an abundant number, since it is smaller than the sum of its proper divisors (404712691560).

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

211749964704 is a wasteful number, since it uses less digits than its factorization.

211749964704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99911 (or 99900 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 211749964704 in words is "two hundred eleven billion, seven hundred forty-nine million, nine hundred sixty-four thousand, seven hundred four".