14832804100 has 81 divisors (see below), whose sum is σ = 34023487071. Its totient is φ = 5612083200.

The previous prime is 14832804097. The next prime is 14832804127. The reversal of 14832804100 is 140823841.

The square root of 14832804100 is 121790.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1523028676 + 13309775424 = 39026^2 + 115368^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 23139780 + ... + 23140420.

Almost surely, 2^14832804100 is an apocalyptic number.

14832804100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14832804100 is the 121790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14832804100

14832804100 is an abundant number, since it is smaller than the sum of its proper divisors (19190682971).

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

14832804100 is an equidigital number, since it uses as much as digits as its factorization.

14832804100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The spelling of 14832804100 in words is "fourteen billion, eight hundred thirty-two million, eight hundred four thousand, one hundred".