14742729000 has 160 divisors (see below), whose sum is σ = 51534311400. Its totient is φ = 3931372800.

The previous prime is 14742728999. The next prime is 14742729007. The reversal of 14742729000 is 92724741.

14742729000 is a `hidden beast` number, since 147 + 427 + 2 + 90 + 0 + 0 = 666.

14742729000 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 5129710884 + 9613018116 = 71622^2 + 98046^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14742729007) 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 39 ways as a sum of consecutive naturals, for example, 10005 + ... + 172004.

Almost surely, 2^14742729000 is an apocalyptic number.

14742729000 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 14742729000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25767155700).

14742729000 is an abundant number, since it is smaller than the sum of its proper divisors (36791582400).

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

14742729000 is a wasteful number, since it uses less digits than its factorization.

14742729000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182042 (or 182019 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 14742729000 in words is "fourteen billion, seven hundred forty-two million, seven hundred twenty-nine thousand".