4195872914689 has 7 divisors (see below), whose sum is σ = 4229173493377. Its totient is φ = 4162834545282.

The previous prime is 4195872914687. The next prime is 4195872914707. The reversal of 4195872914689 is 9864192785914.

The square root of 4195872914689 is 2048383.

The cubic root of 4195872914689 is 16129.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

4195872914689 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4195872914689 - 2¹ = 4195872914687 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4195872914687) by changing a digit.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 33038369344 + ... + 33038369470.

It is an arithmetic number, because the mean of its divisors is an integer number (604167641911).

Almost surely, 2^{4195872914689} is an apocalyptic number.

4195872914689 is the 2048383-rd square number.

4195872914689 is the 1024192-nd centered octagonal number.

It is an amenable number.

4195872914689 is a deficient number, since it is larger than the sum of its proper divisors (33300578688).

4195872914689 is an frugal number, since it uses more digits than its factorization.

4195872914689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 127 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 73.

It can be divided in two parts, 419587 and 2914689, that added together give a square (3334276 = 1826²).

The spelling of 4195872914689 in words is "four trillion, one hundred ninety-five billion, eight hundred seventy-two million, nine hundred fourteen thousand, six hundred eighty-nine".