11449000000 has 147 divisors (see below), whose sum is σ = 28666410409. Its totient is φ = 4536800000.

The previous prime is 11448999983. The next prime is 11449000009. The reversal of 11449000000 is 94411.

The square root of 11449000000 is 107000.

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

It can be written as a sum of positive squares in 3 ways, for example, as 10030423104 + 1418576896 = 100152^2 + 37664^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11449000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 106999947 + ... + 107000053.

Almost surely, 2^11449000000 is an apocalyptic number.

11449000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11449000000 is the 107000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11449000000

11449000000 is an abundant number, since it is smaller than the sum of its proper divisors (17217410409).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11449000000 is an frugal number, since it uses more digits than its factorization.

11449000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Multiplying 11449000000 by its product of nonzero digits (144), we get a square (1648656000000 = 1284000²).

Adding to 11449000000 its reverse (94411), we get a palindrome (11449094411).

The spelling of 11449000000 in words is "eleven billion, four hundred forty-nine million", and thus it is an aban number.