4585469759641 has 9 divisors (see below), whose sum is σ = 4871108623231. Its totient is φ = 4315701982432.

The previous prime is 4585469759639. The next prime is 4585469759677. The reversal of 4585469759641 is 1469579645854.

The square root of 4585469759641 is 2141371.

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., 3570002408025 + 1015467351616 = 1889445^2 + 1007704^2 .

It is not a de Polignac number, because 4585469759641 - 2¹ = 4585469759639 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4585469759621) 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, 36340326 + ... + 36466288.

Almost surely, 2^{4585469759641} is an apocalyptic number.

4585469759641 is the 2141371-st square number.

4585469759641 is the 1070686-th centered octagonal number.

It is an amenable number.

4585469759641 is a deficient number, since it is larger than the sum of its proper divisors (285638863590).

4585469759641 is an frugal number, since it uses more digits than its factorization.

4585469759641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251960 (or 125980 counting only the distinct ones).

The product of its digits is 1306368000, while the sum is 73.

The spelling of 4585469759641 in words is "four trillion, five hundred eighty-five billion, four hundred sixty-nine million, seven hundred fifty-nine thousand, six hundred forty-one".