14253120000 has 900 divisors, whose sum is σ = 60387221466. Its totient is φ = 3225600000.

The previous prime is 14253119989. The next prime is 14253120019. The reversal of 14253120000 is 2135241.

It can be written as a sum of positive squares in 5 ways, for example, as 2181263616 + 12071856384 = 46704^2 + 109872^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 89 ways as a sum of consecutive naturals, for example, 141119950 + ... + 141120050.

Almost surely, 2^14253120000 is an apocalyptic number.

14253120000 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 14253120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30193610733).

14253120000 is an abundant number, since it is smaller than the sum of its proper divisors (46134101466).

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

14253120000 is an equidigital number, since it uses as much as digits as its factorization.

14253120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 14253120000 its reverse (2135241), we get a palindrome (14255255241).

The spelling of 14253120000 in words is "fourteen billion, two hundred fifty-three million, one hundred twenty thousand".