2618309098161 has 45 divisors (see below), whose sum is σ = 4089274711291. Its totient is φ = 1669432789728.

The previous prime is 2618309098159. The next prime is 2618309098189. The reversal of 2618309098161 is 1618909038162.

The square root of 2618309098161 is 1618119.

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

2618309098161 is a `hidden beast` number, since 2 + 618 + 3 + 0 + 9 + 0 + 9 + 8 + 16 + 1 = 666.

2618309098161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6025640625 + 2612283457536 = 77625^2 + 1616256^2 .

It is not a de Polignac number, because 2618309098161 - 2¹ = 2618309098159 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2618309098098 and 2618309098107.

It is not an unprimeable number, because it can be changed into a prime (2618309098151) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 334946725 + ... + 334954541.

Almost surely, 2^{2618309098161} is an apocalyptic number.

2618309098161 is the 1618119-th square number.

2618309098161 is the 809060-th centered octagonal number.

It is an amenable number.

2618309098161 is a deficient number, since it is larger than the sum of its proper divisors (1470965613130).

2618309098161 is an frugal number, since it uses more digits than its factorization.

2618309098161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15692 (or 7843 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 2618309098161 in words is "two trillion, six hundred eighteen billion, three hundred nine million, ninety-eight thousand, one hundred sixty-one".