16274342017609 has 27 divisors (see below), whose sum is σ = 18113828774517. Its totient is φ = 14614714112544.

The previous prime is 16274342017579. The next prime is 16274342017709. The reversal of 16274342017609 is 90671024347261.

It is a happy number.

The square root of 16274342017609 is 4034147.

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 67598440009 + 16206743577600 = 259997^2 + 4025760^2 .

It is not a de Polignac number, because 16274342017609 - 2³³ = 16265752083017 is a prime.

It is a super-2 number, since 2×16274342017609² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16274342017309) 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, 1940420514 + ... + 1940428900.

Almost surely, 2^{16274342017609} is an apocalyptic number.

16274342017609 is the 4034147-th square number.

16274342017609 is the 2017074-th centered octagonal number.

It is an amenable number.

16274342017609 is a deficient number, since it is larger than the sum of its proper divisors (1839486756908).

16274342017609 is an frugal number, since it uses more digits than its factorization.

16274342017609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16874 (or 8437 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 52.

It can be divided in two parts, 1627 and 4342017609, that added together give a square (4342019236 = 65894²).

The spelling of 16274342017609 in words is "sixteen trillion, two hundred seventy-four billion, three hundred forty-two million, seventeen thousand, six hundred nine".