11083619248849 has 15 divisors (see below), whose sum is σ = 12930310059593. Its totient is φ = 9500105243748.

The previous prime is 11083619248777. The next prime is 11083619248859. The reversal of 11083619248849 is 94884291638011.

The square root of 11083619248849 is 3329207.

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

It is not a de Polignac number, because 11083619248849 - 2⁹ = 11083619248337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11083619248859) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 163097172 + ... + 163165114.

Almost surely, 2^{11083619248849} is an apocalyptic number.

11083619248849 is the 3329207-th square number.

11083619248849 is the 1664604-th centered octagonal number.

It is an amenable number.

11083619248849 is a deficient number, since it is larger than the sum of its proper divisors (1846690810744).

11083619248849 is an frugal number, since it uses more digits than its factorization.

11083619248849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135914 (or 67950 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 64.

Multiplying 11083619248849 by its sum of digits (64), we get a square (709351631926336 = 26633656²).

The spelling of 11083619248849 in words is "eleven trillion, eighty-three billion, six hundred nineteen million, two hundred forty-eight thousand, eight hundred forty-nine".