1146165089281 has 9 divisors (see below), whose sum is σ = 1148532761091. Its totient is φ = 1143802294944.

The previous prime is 1146165089261. The next prime is 1146165089299. The reversal of 1146165089281 is 1829805616411.

The square root of 1146165089281 is 1070591.

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., 245412242881 + 900752846400 = 495391^2 + 949080^2 .

It is not a de Polignac number, because 1146165089281 - 2⁵ = 1146165089249 is a prime.

It is a super-2 number, since 2×1146165089281² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1146165089261) 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, 769754185 + ... + 769755673.

Almost surely, 2^{1146165089281} is an apocalyptic number.

1146165089281 is the 1070591-st square number.

1146165089281 is the 535296-th centered octagonal number.

It is an amenable number.

1146165089281 is a deficient number, since it is larger than the sum of its proper divisors (2367671810).

1146165089281 is an frugal number, since it uses more digits than its factorization.

1146165089281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4416 (or 2208 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 52.

The spelling of 1146165089281 in words is "one trillion, one hundred forty-six billion, one hundred sixty-five million, eighty-nine thousand, two hundred eighty-one".