209142241986001 has 9 divisors (see below), whose sum is σ = 209348945261211. Its totient is φ = 208935742643472.

The previous prime is 209142241985933. The next prime is 209142241986011. The reversal of 209142241986001 is 100689142241902.

The square root of 209142241986001 is 14461751.

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

209142241986001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 59475792323025 + 149666449662976 = 7712055^2 + 12233824^2 .

It is not a de Polignac number, because 209142241986001 - 2¹¹ = 209142241983953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (209142241986011) 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, 15864534256 + ... + 15864547438.

Almost surely, 2^{209142241986001} is an apocalyptic number.

209142241986001 is the 14461751-st square number.

209142241986001 is the 7230876-th centered octagonal number.

It is an amenable number.

209142241986001 is a deficient number, since it is larger than the sum of its proper divisors (206703275210).

209142241986001 is an frugal number, since it uses more digits than its factorization.

209142241986001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28560 (or 14280 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

The spelling of 209142241986001 in words is "two hundred nine trillion, one hundred forty-two billion, two hundred forty-one million, nine hundred eighty-six thousand, one".