211699371664 has 45 divisors (see below), whose sum is σ = 450888422761. Its totient is φ = 96217784960.

The previous prime is 211699371649. The next prime is 211699371727. The reversal of 211699371664 is 466173996112.

The square root of 211699371664 is 460108.

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., 191476256400 + 20223115264 = 437580^2 + 142208^2 .

It is a super-2 number, since 2×211699371664² (a number of 23 digits) contains 22 as substring.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 20239524 + ... + 20249980.

Almost surely, 2^211699371664 is an apocalyptic number.

211699371664 is the 460108-th square number.

It is an amenable number.

211699371664 is an abundant number, since it is smaller than the sum of its proper divisors (239189051097).

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

211699371664 is an frugal number, since it uses more digits than its factorization.

211699371664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20944 (or 10470 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 55.

The spelling of 211699371664 in words is "two hundred eleven billion, six hundred ninety-nine million, three hundred seventy-one thousand, six hundred sixty-four".