4295467647601 has 27 divisors (see below), whose sum is σ = 4690936896033. Its totient is φ = 3931546344960.

The previous prime is 4295467647599. The next prime is 4295467647607. The reversal of 4295467647601 is 1067467645924.

It is a happy number.

The square root of 4295467647601 is 2072551.

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

4295467647601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1204833327201 + 3090634320400 = 1097649^2 + 1758020^2 .

It is not a de Polignac number, because 4295467647601 - 2¹ = 4295467647599 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4295467647601.

It is not an unprimeable number, because it can be changed into a prime (4295467647607) 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, 3529553745 + ... + 3529554961.

Almost surely, 2^{4295467647601} is an apocalyptic number.

4295467647601 is the 2072551-st square number.

4295467647601 is the 1036276-th centered octagonal number.

It is an amenable number.

4295467647601 is a deficient number, since it is larger than the sum of its proper divisors (395469248432).

4295467647601 is an frugal number, since it uses more digits than its factorization.

4295467647601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 61.

The spelling of 4295467647601 in words is "four trillion, two hundred ninety-five billion, four hundred sixty-seven million, six hundred forty-seven thousand, six hundred one".