14150504000 has 224 divisors, whose sum is σ = 35986833792. Its totient is φ = 5510400000.

The previous prime is 14150503909. The next prime is 14150504111. The reversal of 14150504000 is 40505141.

14150504000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 67063895 + ... + 67064105.

It is an arithmetic number, because the mean of its divisors is an integer number (160655508).

Almost surely, 2^14150504000 is an apocalyptic number.

14150504000 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 14150504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17993416896).

14150504000 is an abundant number, since it is smaller than the sum of its proper divisors (21836329792).

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

14150504000 is a wasteful number, since it uses less digits than its factorization.

14150504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The spelling of 14150504000 in words is "fourteen billion, one hundred fifty million, five hundred four thousand".