8146155097609 has 9 divisors (see below), whose sum is σ = 8653579622311. Its totient is φ = 7666923837280.

The previous prime is 8146155097589. The next prime is 8146155097631. The reversal of 8146155097609 is 9067905516418.

The square root of 8146155097609 is 2854147.

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., 6342162273225 + 1803992824384 = 2518365^2 + 1343128^2 .

It is not a de Polignac number, because 8146155097609 - 2³⁷ = 8008716144137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8146155097699) 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, 48436554 + ... + 48604444.

Almost surely, 2^{8146155097609} is an apocalyptic number.

8146155097609 is the 2854147-th square number.

8146155097609 is the 1427074-th centered octagonal number.

It is an amenable number.

8146155097609 is a deficient number, since it is larger than the sum of its proper divisors (507424524702).

8146155097609 is an frugal number, since it uses more digits than its factorization.

8146155097609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335816 (or 167908 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 61.

The spelling of 8146155097609 in words is "eight trillion, one hundred forty-six billion, one hundred fifty-five million, ninety-seven thousand, six hundred nine".