1030466584161 has 189 divisors, whose sum is σ = 1856310565539. Its totient is φ = 570090830400.

The previous prime is 1030466584151. The next prime is 1030466584183. The reversal of 1030466584161 is 1614856640301.

The square root of 1030466584161 is 1015119.

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

1030466584161 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 4 + 6 + 6 + 584 + 1 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 49653654561 + 980812929600 = 222831^2 + 990360^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 1030466584161 - 2⁷ = 1030466584033 is a prime.

It is a super-2 number, since 2×1030466584161² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1030466584111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 7866157066 + ... + 7866157196.

Almost surely, 2^{1030466584161} is an apocalyptic number.

1030466584161 is the 1015119-th square number.

1030466584161 is the 507560-th centered octagonal number.

It is an amenable number.

1030466584161 is a deficient number, since it is larger than the sum of its proper divisors (825843981378).

1030466584161 is an frugal number, since it uses more digits than its factorization.

1030466584161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1030466584161 in words is "one trillion, thirty billion, four hundred sixty-six million, five hundred eighty-four thousand, one hundred sixty-one".