211946224407129 has 99 divisors (see below), whose sum is σ = 320652426233727. Its totient is φ = 140092311704400.

The previous prime is 211946224407083. The next prime is 211946224407143. The reversal of 211946224407129 is 921704422649112.

The square root of 211946224407129 is 14558373.

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

211946224407129 is a `hidden beast` number, since 2 + 1 + 1 + 9 + 4 + 6 + 224 + 407 + 1 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2335477763529 + 209610746643600 = 1528227^2 + 14477940^2 .

It is not a de Polignac number, because 211946224407129 - 2⁴⁵ = 176761852318297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211946224405129) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 640320919494 + ... + 640320919824.

Almost surely, 2^{211946224407129} is an apocalyptic number.

211946224407129 is the 14558373-rd square number.

211946224407129 is the 7279187-th centered octagonal number.

It is an amenable number.

211946224407129 is a deficient number, since it is larger than the sum of its proper divisors (108706201826598).

211946224407129 is an frugal number, since it uses more digits than its factorization.

211946224407129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 211946224407129 in words is "two hundred eleven trillion, nine hundred forty-six billion, two hundred twenty-four million, four hundred seven thousand, one hundred twenty-nine".