11289634848 has 90 divisors (see below), whose sum is σ = 33218419311. Its totient is φ = 3761408448.

The previous prime is 11289634843. The next prime is 11289634877. The reversal of 11289634848 is 84843698211.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

11289634848 is a `hidden beast` number, since 11 + 289 + 6 + 348 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5644817424 + 5644817424 = 75132^2 + 75132^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=75132.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11289634794 and 11289634803.

It is not an unprimeable number, because it can be changed into a prime (11289634843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5408461 + ... + 5410547.

Almost surely, 2^11289634848 is an apocalyptic number.

11289634848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11289634848

11289634848 is an abundant number, since it is smaller than the sum of its proper divisors (21928784463).

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

11289634848 is an frugal number, since it uses more digits than its factorization.

11289634848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4196 (or 2092 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 11289634848 in words is "eleven billion, two hundred eighty-nine million, six hundred thirty-four thousand, eight hundred forty-eight".