11483133840 has 120 divisors (see below), whose sum is σ = 38597228280. Its totient is φ = 3059546112.

The previous prime is 11483133839. The next prime is 11483133877. The reversal of 11483133840 is 4833138411.

It is a happy number.

11483133840 is a `hidden beast` number, since 1 + 1 + 483 + 133 + 8 + 40 = 666.

11483133840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2593661184 + 8889472656 = 50928^2 + 94284^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11483133795 and 11483133804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 921894 + ... + 934266.

It is an arithmetic number, because the mean of its divisors is an integer number (321643569).

Almost surely, 2^11483133840 is an apocalyptic number.

11483133840 is a gapful number since it is divisible by the number (10) 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 11483133840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19298614140).

11483133840 is an abundant number, since it is smaller than the sum of its proper divisors (27114094440).

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

11483133840 is a wasteful number, since it uses less digits than its factorization.

11483133840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13681 (or 13672 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 11483133840 in words is "eleven billion, four hundred eighty-three million, one hundred thirty-three thousand, eight hundred forty".