11231548440 has 256 divisors, whose sum is σ = 40866508800. Its totient is φ = 2410684416.

The previous prime is 11231548429. The next prime is 11231548483. The reversal of 11231548440 is 4484513211.

11231548440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 105979²-1.

It is a super-2 number, since 2×11231548440² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 10809441 + ... + 10810479.

It is an arithmetic number, because the mean of its divisors is an integer number (159634800).

Almost surely, 2^11231548440 is an apocalyptic number.

11231548440 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 11231548440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20433254400).

11231548440 is an abundant number, since it is smaller than the sum of its proper divisors (29634960360).

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

11231548440 is a wasteful number, since it uses less digits than its factorization.

11231548440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 11231548440 in words is "eleven billion, two hundred thirty-one million, five hundred forty-eight thousand, four hundred forty".