14469684100 has 81 divisors (see below), whose sum is σ = 32886634053. Its totient is φ = 5525641440.

The previous prime is 14469684049. The next prime is 14469684107. The reversal of 14469684100 is 148696441.

The square root of 14469684100 is 120290.

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

It can be written as a sum of positive squares in only one way, i.e., 5209086276 + 9260597824 = 72174^2 + 96232^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14469684107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27666439 + ... + 27666961.

Almost surely, 2^14469684100 is an apocalyptic number.

14469684100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14469684100 is the 120290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14469684100

14469684100 is an abundant number, since it is smaller than the sum of its proper divisors (18416949953).

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

14469684100 is an equidigital number, since it uses as much as digits as its factorization.

14469684100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 14469684100 in words is "fourteen billion, four hundred sixty-nine million, six hundred eighty-four thousand, one hundred".