10184644561 has 27 divisors (see below), whose sum is σ = 12840467121. Its totient is φ = 8050914144.

The previous prime is 10184644553. The next prime is 10184644571. The reversal of 10184644561 is 16544648101.

The square root of 10184644561 is 100919.

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 7650126225 + 2534518336 = 87465^2 + 50344^2 .

It is not a de Polignac number, because 10184644561 - 2³ = 10184644553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10184644501) 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 26 ways as a sum of consecutive naturals, for example, 9183075 + ... + 9184183.

Almost surely, 2^10184644561 is an apocalyptic number.

10184644561 is the 100919-th square number.

10184644561 is the 50460-th centered octagonal number.

It is an amenable number.

10184644561 is a deficient number, since it is larger than the sum of its proper divisors (2655822560).

10184644561 is an frugal number, since it uses more digits than its factorization.

10184644561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 10184644561 in words is "ten billion, one hundred eighty-four million, six hundred forty-four thousand, five hundred sixty-one".