95146309964209 has 9 divisors (see below), whose sum is σ = 110680480814841. Its totient is φ = 81553921443540.

The previous prime is 95146309964171. The next prime is 95146309964221. The reversal of 95146309964209 is 90246990364159.

The square root of 95146309964209 is 9754297.

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

It is not a de Polignac number, because 95146309964209 - 2³⁵ = 95111950225841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (95146309964249) 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, 67583344 + ... + 68976814.

It is an arithmetic number, because the mean of its divisors is an integer number (12297831201649).

Almost surely, 2^{95146309964209} is an apocalyptic number.

95146309964209 is the 9754297-th square number.

95146309964209 is the 4877149-th centered octagonal number.

It is an amenable number.

95146309964209 is a deficient number, since it is larger than the sum of its proper divisors (15534170850632).

95146309964209 is an frugal number, since it uses more digits than its factorization.

95146309964209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786956 (or 1393478 counting only the distinct ones).

The product of its (nonzero) digits is 113374080, while the sum is 67.

The spelling of 95146309964209 in words is "ninety-five trillion, one hundred forty-six billion, three hundred nine million, nine hundred sixty-four thousand, two hundred nine".