206744741861641 has 9 divisors (see below), whose sum is σ = 206854782463821. Its totient is φ = 206634759789612.

The previous prime is 206744741861627. The next prime is 206744741861689. The reversal of 206744741861641 is 146168147447602.

The square root of 206744741861641 is 14378621.

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

It is not a de Polignac number, because 206744741861641 - 2⁷ = 206744741861513 is a prime.

It is a super-3 number, since 3×206744741861641³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 206744741861641.

It is not an unprimeable number, because it can be changed into a prime (206744741861621) 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, 47780155420 + ... + 47780159746.

Almost surely, 2^{206744741861641} is an apocalyptic number.

206744741861641 is the 14378621-st square number.

206744741861641 is the 7189311-st centered octagonal number.

It is an amenable number.

206744741861641 is a deficient number, since it is larger than the sum of its proper divisors (110040602180).

206744741861641 is an frugal number, since it uses more digits than its factorization.

206744741861641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15300 (or 7650 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 61.

The spelling of 206744741861641 in words is "two hundred six trillion, seven hundred forty-four billion, seven hundred forty-one million, eight hundred sixty-one thousand, six hundred forty-one".