14517840100 has 27 divisors (see below), whose sum is σ = 31506327867. Its totient is φ = 5806654080.

The previous prime is 14517840089. The next prime is 14517840107. The reversal of 14517840100 is 104871541.

The square root of 14517840100 is 120490.

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 39012516 + 14478827584 = 6246^2 + 120328^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14517840107) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1198876 + ... + 1210924.

Almost surely, 2^14517840100 is an apocalyptic number.

14517840100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14517840100 is the 120490-th square number.

It is an amenable number.

14517840100 is an abundant number, since it is smaller than the sum of its proper divisors (16988487767).

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

14517840100 is an frugal number, since it uses more digits than its factorization.

14517840100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24112 (or 12056 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 31.

The spelling of 14517840100 in words is "fourteen billion, five hundred seventeen million, eight hundred forty thousand, one hundred".