14431012248000 has 896 divisors, whose sum is σ = 50818255488000. Its totient is φ = 3602014617600.

The previous prime is 14431012247959. The next prime is 14431012248001. The reversal of 14431012248000 is 84221013441.

It is a super-2 number, since 2×14431012248000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14431012248001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4159990266 + ... + 4159993734.

It is an arithmetic number, because the mean of its divisors is an integer number (56716803000).

Almost surely, 2^{14431012248000} is an apocalyptic number.

14431012248000 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 14431012248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25409127744000).

14431012248000 is an abundant number, since it is smaller than the sum of its proper divisors (36387243240000).

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

14431012248000 is a wasteful number, since it uses less digits than its factorization.

14431012248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3710 (or 3690 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 14431012248000 in words is "fourteen trillion, four hundred thirty-one billion, twelve million, two hundred forty-eight thousand".