116811848050209 has 81 divisors (see below), whose sum is σ = 191010669859737. Its totient is φ = 68753106968832.

The previous prime is 116811848050127. The next prime is 116811848050211. The reversal of 116811848050209 is 902050848118611.

The square root of 116811848050209 is 10807953.

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

116811848050209 is a `hidden beast` number, since 1 + 1 + 6 + 81 + 18 + 48 + 0 + 502 + 0 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4468213854225 + 112343634195984 = 2113815^2 + 10599228^2 .

It is not a de Polignac number, because 116811848050209 - 2¹⁵ = 116811848017441 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (116811848055209) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9694727817 + ... + 9694739865.

Almost surely, 2^{116811848050209} is an apocalyptic number.

116811848050209 is the 10807953-rd square number.

116811848050209 is the 5403977-th centered octagonal number.

It is an amenable number.

116811848050209 is a deficient number, since it is larger than the sum of its proper divisors (74198821809528).

116811848050209 is an frugal number, since it uses more digits than its factorization.

116811848050209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24176 (or 12088 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 54.

The spelling of 116811848050209 in words is "one hundred sixteen trillion, eight hundred eleven billion, eight hundred forty-eight million, fifty thousand, two hundred nine".