14804364900 has 288 divisors, whose sum is σ = 48817014400. Its totient is φ = 3433881600.

The previous prime is 14804364859. The next prime is 14804364907. The reversal of 14804364900 is 946340841.

It is a happy number.

14804364900 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 (39).

It is not an unprimeable number, because it can be changed into a prime (14804364907) 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 95 ways as a sum of consecutive naturals, for example, 17857686 + ... + 17858514.

Almost surely, 2^14804364900 is an apocalyptic number.

14804364900 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 14804364900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24408507200).

14804364900 is an abundant number, since it is smaller than the sum of its proper divisors (34012649500).

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

14804364900 is a wasteful number, since it uses less digits than its factorization.

14804364900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 14804364900 in words is "fourteen billion, eight hundred four million, three hundred sixty-four thousand, nine hundred".