14446300000 has 288 divisors, whose sum is σ = 40537905408. Its totient is φ = 5016000000.

The previous prime is 14446299991. The next prime is 14446300007. The reversal of 14446300000 is 364441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14446300007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25299715 + ... + 25300285.

It is an arithmetic number, because the mean of its divisors is an integer number (140756616).

Almost surely, 2^14446300000 is an apocalyptic number.

14446300000 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 14446300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20268952704).

14446300000 is an abundant number, since it is smaller than the sum of its proper divisors (26091605408).

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

14446300000 is an equidigital number, since it uses as much as digits as its factorization.

14446300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 14446300000 its reverse (364441), we get a palindrome (14446664441).

The spelling of 14446300000 in words is "fourteen billion, four hundred forty-six million, three hundred thousand".