211738942801 has 9 divisors (see below), whose sum is σ = 214796327259. Its totient is φ = 208724493600.

The previous prime is 211738942769. The next prime is 211738942837. The reversal of 211738942801 is 108249837112.

The square root of 211738942801 is 460151.

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., 201285925201 + 10453017600 = 448649^2 + 102240^2 .

It is not a de Polignac number, because 211738942801 - 2⁵ = 211738942769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211738945801) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32667481 + ... + 32673961.

Almost surely, 2^211738942801 is an apocalyptic number.

211738942801 is the 460151-st square number.

211738942801 is the 230076-th centered octagonal number.

It is an amenable number.

211738942801 is a deficient number, since it is larger than the sum of its proper divisors (3057384458).

211738942801 is an frugal number, since it uses more digits than its factorization.

211738942801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13104 (or 6552 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The spelling of 211738942801 in words is "two hundred eleven billion, seven hundred thirty-eight million, nine hundred forty-two thousand, eight hundred one".