2618399713609 has 27 divisors (see below), whose sum is σ = 2732762825013. Its totient is φ = 2508775108800.

The previous prime is 2618399713511. The next prime is 2618399713663. The reversal of 2618399713609 is 9063179938162.

The square root of 2618399713609 is 1618147.

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 2216367630009 + 402032083600 = 1488747^2 + 634060^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2618399713609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2618399713409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4046985324 + ... + 4046985970.

Almost surely, 2^{2618399713609} is an apocalyptic number.

2618399713609 is the 1618147-th square number.

2618399713609 is the 809074-th centered octagonal number.

It is an amenable number.

2618399713609 is a deficient number, since it is larger than the sum of its proper divisors (114363111404).

2618399713609 is an frugal number, since it uses more digits than its factorization.

2618399713609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 64.

Multiplying 2618399713609 by its sum of digits (64), we get a square (167577581670976 = 12945176²).

The spelling of 2618399713609 in words is "two trillion, six hundred eighteen billion, three hundred ninety-nine million, seven hundred thirteen thousand, six hundred nine".