14900014900 has 72 divisors (see below), whose sum is σ = 32875630200. Its totient is φ = 5860800000.

The previous prime is 14900014867. The next prime is 14900014901. The reversal of 14900014900 is 941000941.

14900014900 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 12 ways, for example, as 414448164 + 14485566736 = 20358^2 + 120356^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14900014901) 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 23 ways as a sum of consecutive naturals, for example, 1499950 + ... + 1509850.

It is an arithmetic number, because the mean of its divisors is an integer number (456605975).

Almost surely, 2^14900014900 is an apocalyptic number.

14900014900 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 14900014900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16437815100).

14900014900 is an abundant number, since it is smaller than the sum of its proper divisors (17975615300).

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

14900014900 is a wasteful number, since it uses less digits than its factorization.

14900014900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10165 (or 10158 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The spelling of 14900014900 in words is "fourteen billion, nine hundred million, fourteen thousand, nine hundred".