5610346492689 has 27 divisors (see below), whose sum is σ = 8374009318779. Its totient is φ = 3619436265360.

The previous prime is 5610346492679. The next prime is 5610346492697. The reversal of 5610346492689 is 9862946430165.

The square root of 5610346492689 is 2368617.

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

5610346492689 is a `hidden beast` number, since 5 + 6 + 1 + 0 + 3 + 464 + 92 + 6 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4410138601089 + 1200207891600 = 2100033^2 + 1095540^2 .

It is not a de Polignac number, because 5610346492689 - 2¹¹ = 5610346490641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5610346492679) 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, 220268647 + ... + 220294115.

Almost surely, 2^{5610346492689} is an apocalyptic number.

5610346492689 is the 2368617-th square number.

5610346492689 is the 1184309-th centered octagonal number.

It is an amenable number.

5610346492689 is a deficient number, since it is larger than the sum of its proper divisors (2763662826090).

5610346492689 is an frugal number, since it uses more digits than its factorization.

5610346492689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51006 (or 25503 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 5610346492689 in words is "five trillion, six hundred ten billion, three hundred forty-six million, four hundred ninety-two thousand, six hundred eighty-nine".