8048245585249 has 27 divisors (see below), whose sum is σ = 8634315614841. Its totient is φ = 7500423381120.

The previous prime is 8048245585243. The next prime is 8048245585291. The reversal of 8048245585249 is 9425855428408.

It is a happy number.

The square root of 8048245585249 is 2836943.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1835848854225 + 6212396731024 = 1354935^2 + 2492468^2 .

It is not a de Polignac number, because 8048245585249 - 2³ = 8048245585241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8048245585241) 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, 5256854614 + ... + 5256856144.

Almost surely, 2^{8048245585249} is an apocalyptic number.

8048245585249 is the 2836943-rd square number.

8048245585249 is the 1418472-nd centered octagonal number.

It is an amenable number.

8048245585249 is a deficient number, since it is larger than the sum of its proper divisors (586070029592).

8048245585249 is an frugal number, since it uses more digits than its factorization.

8048245585249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3314 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 147456000, while the sum is 64.

Multiplying 8048245585249 by its sum of digits (64), we get a square (515087717455936 = 22695544²).

The spelling of 8048245585249 in words is "eight trillion, forty-eight billion, two hundred forty-five million, five hundred eighty-five thousand, two hundred forty-nine".