1166181850201 has 9 divisors (see below), whose sum is σ = 1195364436703. Its totient is φ = 1137695194480.

The previous prime is 1166181850187. The next prime is 1166181850241. The reversal of 1166181850201 is 1020581816611.

The square root of 1166181850201 is 1079899.

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., 56193176601 + 1109988673600 = 237051^2 + 1053560^2 .

It is not a de Polignac number, because 1166181850201 - 2²¹ = 1166179753049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1166181850241) 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, 44262690 + ... + 44289028.

Almost surely, 2^{1166181850201} is an apocalyptic number.

1166181850201 is the 1079899-th square number.

1166181850201 is the 539950-th centered octagonal number.

It is an amenable number.

1166181850201 is a deficient number, since it is larger than the sum of its proper divisors (29182586502).

1166181850201 is an frugal number, since it uses more digits than its factorization.

1166181850201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52760 (or 26380 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 40.

The spelling of 1166181850201 in words is "one trillion, one hundred sixty-six billion, one hundred eighty-one million, eight hundred fifty thousand, two hundred one".