14513020900 has 81 divisors (see below), whose sum is σ = 36656310747. Its totient is φ = 4973001600.

The previous prime is 14513020897. The next prime is 14513020901. The reversal of 14513020900 is 902031541.

The square root of 14513020900 is 120470.

It is a perfect power (a square), and thus also a powerful number.

14513020900 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 4 ways, for example, as 164814244 + 14348206656 = 12838^2 + 119784^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (14513020901) 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 26 ways as a sum of consecutive naturals, for example, 8432040 + ... + 8433760.

Almost surely, 2^14513020900 is an apocalyptic number.

14513020900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14513020900 is the 120470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14513020900

14513020900 is an abundant number, since it is smaller than the sum of its proper divisors (22143289847).

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

14513020900 is an equidigital number, since it uses as much as digits as its factorization.

14513020900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3470 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

Multiplying 14513020900 by its sum of digits (25), we get a square (362825522500 = 602350²).

14513020900 divided by its sum of digits (25) gives a square (580520836 = 24094²).

The spelling of 14513020900 in words is "fourteen billion, five hundred thirteen million, twenty thousand, nine hundred".