14984208100 has 27 divisors (see below), whose sum is σ = 32518388091. Its totient is φ = 5993193600.

The previous prime is 14984208097. The next prime is 14984208103. The reversal of 14984208100 is 180248941.

The square root of 14984208100 is 122410.

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

It is an interprime number because it is at equal distance from previous prime (14984208097) and next prime (14984208103).

It can be written as a sum of positive squares in 4 ways, for example, as 2240507556 + 12743700544 = 47334^2 + 112888^2 .

It is a super-2 number, since 2×14984208100² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 14984208100.

It is not an unprimeable number, because it can be changed into a prime (14984208103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1217980 + ... + 1230220.

Almost surely, 2^14984208100 is an apocalyptic number.

14984208100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14984208100 is the 122410-th square number.

It is an amenable number.

14984208100 is an abundant number, since it is smaller than the sum of its proper divisors (17534179991).

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

14984208100 is an frugal number, since it uses more digits than its factorization.

14984208100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24496 (or 12248 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The spelling of 14984208100 in words is "fourteen billion, nine hundred eighty-four million, two hundred eight thousand, one hundred".