14205145500 has 768 divisors, whose sum is σ = 58549370880. Its totient is φ = 2892672000.

The previous prime is 14205145477. The next prime is 14205145511. The reversal of 14205145500 is 554150241.

14205145500 is a `hidden beast` number, since 1 + 4 + 205 + 1 + 455 + 0 + 0 = 666.

14205145500 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 (27).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 38083314 + ... + 38083686.

It is an arithmetic number, because the mean of its divisors is an integer number (76236160).

Almost surely, 2^14205145500 is an apocalyptic number.

14205145500 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 14205145500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29274685440).

14205145500 is an abundant number, since it is smaller than the sum of its proper divisors (44344225380).

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

14205145500 is a wasteful number, since it uses less digits than its factorization.

14205145500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 14205145500 its reverse (554150241), we get a palindrome (14759295741).

The spelling of 14205145500 in words is "fourteen billion, two hundred five million, one hundred forty-five thousand, five hundred".