211405004944 has 45 divisors (see below), whose sum is σ = 476499226521. Its totient is φ = 90596627520.

The previous prime is 211405004929. The next prime is 211405004957. The reversal of 211405004944 is 449400504112.

It is a happy number.

The square root of 211405004944 is 459788.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2080454544 + 209324550400 = 45612^2 + 457520^2 .

It is a super-2 number, since 2×211405004944² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12865854 + ... + 12882274.

Almost surely, 2^211405004944 is an apocalyptic number.

211405004944 is the 459788-th square number.

It is an amenable number.

211405004944 is an abundant number, since it is smaller than the sum of its proper divisors (265094221577).

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

211405004944 is an frugal number, since it uses more digits than its factorization.

211405004944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32864 (or 16430 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 211405004944 in words is "two hundred eleven billion, four hundred five million, four thousand, nine hundred forty-four".