14112444000 has 384 divisors, whose sum is σ = 48400934400. Its totient is φ = 3590092800.

The previous prime is 14112443987. The next prime is 14112444013. The reversal of 14112444000 is 44421141.

It is an interprime number because it is at equal distance from previous prime (14112443987) and next prime (14112444013).

It is a super-2 number, since 2×14112444000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37235811 + ... + 37236189.

It is an arithmetic number, because the mean of its divisors is an integer number (126044100).

Almost surely, 2^14112444000 is an apocalyptic number.

14112444000 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 14112444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24200467200).

14112444000 is an abundant number, since it is smaller than the sum of its proper divisors (34288490400).

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

14112444000 is a wasteful number, since it uses less digits than its factorization.

14112444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 14112444000 its reverse (44421141), we get a palindrome (14156865141).

The spelling of 14112444000 in words is "fourteen billion, one hundred twelve million, four hundred forty-four thousand".