8661753461 has 16 divisors (see below), whose sum is σ = 8995546560. Its totient is φ = 8334264960.

The previous prime is 8661753427. The next prime is 8661753467. The reversal of 8661753461 is 1643571668.

8661753461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 8661753461 - 2³⁰ = 7588011637 is a prime.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8661753467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4484666 + ... + 4486596.

It is an arithmetic number, because the mean of its divisors is an integer number (562221660).

Almost surely, 2^8661753461 is an apocalyptic number.

It is an amenable number.

8661753461 is a deficient number, since it is larger than the sum of its proper divisors (333793099).

8661753461 is a wasteful number, since it uses less digits than its factorization.

8661753461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3476.

The product of its digits is 725760, while the sum is 47.

The square root of 8661753461 is about 93068.5417367222. The cubic root of 8661753461 is about 2053.6918175020.

The spelling of 8661753461 in words is "eight billion, six hundred sixty-one million, seven hundred fifty-three thousand, four hundred sixty-one".