12243853440 has 1152 divisors, whose sum is σ = 54854392320. Its totient is φ = 2492743680.

The previous prime is 12243853439. The next prime is 12243853469. The reversal of 12243853440 is 4435834221.

12243853440 is a `hidden beast` number, since 122 + 43 + 8 + 53 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 12243853395 and 12243853404.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 172448605 + ... + 172448675.

It is an arithmetic number, because the mean of its divisors is an integer number (47616660).

Almost surely, 2^12243853440 is an apocalyptic number.

12243853440 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 12243853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27427196160).

12243853440 is an abundant number, since it is smaller than the sum of its proper divisors (42610538880).

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

12243853440 is a wasteful number, since it uses less digits than its factorization.

12243853440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 12243853440 in words is "twelve billion, two hundred forty-three million, eight hundred fifty-three thousand, four hundred forty".