14269200900 has 144 divisors (see below), whose sum is σ = 42141052800. Its totient is φ = 3727088640.

The previous prime is 14269200877. The next prime is 14269200949. The reversal of 14269200900 is 900296241.

It is a super-2 number, since 2×14269200900² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2907849 + ... + 2912751.

It is an arithmetic number, because the mean of its divisors is an integer number (292646200).

Almost surely, 2^14269200900 is an apocalyptic number.

14269200900 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 14269200900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21070526400).

14269200900 is an abundant number, since it is smaller than the sum of its proper divisors (27871851900).

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

14269200900 is a wasteful number, since it uses less digits than its factorization.

14269200900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5118 (or 5111 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 14269200900 in words is "fourteen billion, two hundred sixty-nine million, two hundred thousand, nine hundred".