14113245120 has 224 divisors, whose sum is σ = 48424014912. Its totient is φ = 3461971968.

The previous prime is 14113245089. The next prime is 14113245143. The reversal of 14113245120 is 2154231141.

It is a super-3 number, since 3×14113245120³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3904434 + ... + 3908046.

It is an arithmetic number, because the mean of its divisors is an integer number (216178638).

Almost surely, 2^14113245120 is an apocalyptic number.

14113245120 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 14113245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24212007456).

14113245120 is an abundant number, since it is smaller than the sum of its proper divisors (34310769792).

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

14113245120 is a wasteful number, since it uses less digits than its factorization.

14113245120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3959 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 14113245120 its reverse (2154231141), we get a palindrome (16267476261).

The spelling of 14113245120 in words is "fourteen billion, one hundred thirteen million, two hundred forty-five thousand, one hundred twenty".