448012019569 has 27 divisors (see below), whose sum is σ = 465656955267. Its totient is φ = 431031609216.

The previous prime is 448012019551. The next prime is 448012019627. The reversal of 448012019569 is 965910210844.

The square root of 448012019569 is 669337.

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

It can be written as a sum of positive squares in 13 ways, for example, as 33466225 + 447978553344 = 5785^2 + 669312^2 .

It is not a de Polignac number, because 448012019569 - 2¹⁵ = 448011986801 is a prime.

It is a super-2 number, since 2×448012019569² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (448012019509) 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, 2589664767 + ... + 2589664939.

Almost surely, 2^448012019569 is an apocalyptic number.

448012019569 is the 669337-th square number.

448012019569 is the 334669-th centered octagonal number.

It is an amenable number.

448012019569 is a deficient number, since it is larger than the sum of its proper divisors (17644935698).

448012019569 is an frugal number, since it uses more digits than its factorization.

448012019569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

Multiplying 448012019569 by its sum of digits (49), we get a square (21952588958881 = 4685359²).

The spelling of 448012019569 in words is "four hundred forty-eight billion, twelve million, nineteen thousand, five hundred sixty-nine".