314003609701609 has 9 divisors (see below), whose sum is σ = 317145145622871. Its totient is φ = 310892891056200.

The previous prime is 314003609701589. The next prime is 314003609701637. The reversal of 314003609701609 is 906107906300413.

It is a happy number.

The square root of 314003609701609 is 17720147.

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

It can be written as a sum of positive squares in only one way, i.e., 301690949778009 + 12312659923600 = 17369253^2 + 3508940^2 .

It is not a de Polignac number, because 314003609701609 - 2⁹ = 314003609701097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (314003609701669) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1789647124 + ... + 1789822570.

Almost surely, 2^{314003609701609} is an apocalyptic number.

314003609701609 is the 17720147-th square number.

314003609701609 is the 8860074-th centered octagonal number.

It is an amenable number.

314003609701609 is a deficient number, since it is larger than the sum of its proper divisors (3141535921262).

314003609701609 is an frugal number, since it uses more digits than its factorization.

314003609701609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351096 (or 175548 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 49.

The spelling of 314003609701609 in words is "three hundred fourteen trillion, three billion, six hundred nine million, seven hundred one thousand, six hundred nine".