14129249000 has 32 divisors (see below), whose sum is σ = 33062445000. Its totient is φ = 5651699200.

The previous prime is 14129248961. The next prime is 14129249009. The reversal of 14129249000 is 94292141.

14129249000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 782992324 + 13346256676 = 27982^2 + 115526^2 .

It is not an unprimeable number, because it can be changed into a prime (14129249009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7063625 + ... + 7065624.

Almost surely, 2^14129249000 is an apocalyptic number.

14129249000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14129249000 is an abundant number, since it is smaller than the sum of its proper divisors (18933196000).

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

14129249000 is a wasteful number, since it uses less digits than its factorization.

14129249000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14129270 (or 14129256 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The spelling of 14129249000 in words is "fourteen billion, one hundred twenty-nine million, two hundred forty-nine thousand".