11247283567809 has 63 divisors (see below), whose sum is σ = 16969636083603. Its totient is φ = 7451163505872.

The previous prime is 11247283567789. The next prime is 11247283567843. The reversal of 11247283567809 is 90876538274211.

The square root of 11247283567809 is 3353697.

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

11247283567809 is a `hidden beast` number, since 1 + 1 + 2 + 47 + 28 + 3 + 567 + 8 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 986972706225 + 10260310861584 = 993465^2 + 3203172^2 .

It is not a de Polignac number, because 11247283567809 - 2⁹ = 11247283567297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11247283587809) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 20192609359 + ... + 20192609915.

It is a 1-persistent number, because it is pandigital, but 2⋅11247283567809 = 22494567135618 is not.

Almost surely, 2^{11247283567809} is an apocalyptic number.

11247283567809 is the 3353697-th square number.

11247283567809 is the 1676849-th centered octagonal number.

It is an amenable number.

11247283567809 is a deficient number, since it is larger than the sum of its proper divisors (5722352515794).

11247283567809 is an frugal number, since it uses more digits than its factorization.

11247283567809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 11247283567809 in words is "eleven trillion, two hundred forty-seven billion, two hundred eighty-three million, five hundred sixty-seven thousand, eight hundred nine".