1166402160001 has 9 divisors (see below), whose sum is σ = 1263042394281. Its totient is φ = 1076665956912.

The previous prime is 1166402159957. The next prime is 1166402160023. The reversal of 1166402160001 is 1000612046611.

The square root of 1166402160001 is 1080001.

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

It can be written as a sum of positive squares in 4 ways, for example, as 173429769601 + 992972390400 = 416449^2 + 996480^2 .

It is not a de Polignac number, because 1166402160001 - 2⁷ = 1166402159873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1166402160601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13998475 + ... + 14081551.

It is an arithmetic number, because the mean of its divisors is an integer number (140338043809).

Almost surely, 2^{1166402160001} is an apocalyptic number.

1166402160001 is the 1080001-st square number.

1166402160001 is the 540001-st centered octagonal number.

It is an amenable number.

1166402160001 is a deficient number, since it is larger than the sum of its proper divisors (96640234280).

1166402160001 is an frugal number, since it uses more digits than its factorization.

1166402160001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166180 (or 83090 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 1166402160001 in words is "one trillion, one hundred sixty-six billion, four hundred two million, one hundred sixty thousand, one".