14477130000 has 500 divisors, whose sum is σ = 53399491068. Its totient is φ = 3784320000.

The previous prime is 14477129993. The next prime is 14477130001. The reversal of 14477130000 is 3177441.

It can be written as a sum of positive squares in 10 ways, for example, as 11447288064 + 3029841936 = 106992^2 + 55044^2 .

It is a tau number, because it is divible by the number of its divisors (500).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14477130001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 49409854 + ... + 49410146.

Almost surely, 2^14477130000 is an apocalyptic number.

14477130000 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 14477130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26699745534).

14477130000 is an abundant number, since it is smaller than the sum of its proper divisors (38922361068).

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

14477130000 is an equidigital number, since it uses as much as digits as its factorization.

14477130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 14477130000 in words is "fourteen billion, four hundred seventy-seven million, one hundred thirty thousand".