14978088225 has 81 divisors (see below), whose sum is σ = 27636580569. Its totient is φ = 7754313600.

The previous prime is 14978088199. The next prime is 14978088283. The reversal of 14978088225 is 52288087941.

The square root of 14978088225 is 122385.

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 6304518801 + 8673569424 = 79401^2 + 93132^2 .

It is not a de Polignac number, because 14978088225 - 2⁵ = 14978088193 is a prime.

It is a Curzon number.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 75266676 + ... + 75266874.

Almost surely, 2^14978088225 is an apocalyptic number.

14978088225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14978088225 is the 122385-th square number.

14978088225 is the 61193-rd centered octagonal number.

It is an amenable number.

14978088225 is a deficient number, since it is larger than the sum of its proper divisors (12658492344).

14978088225 is an equidigital number, since it uses as much as digits as its factorization.

14978088225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 14978088225 in words is "fourteen billion, nine hundred seventy-eight million, eighty-eight thousand, two hundred twenty-five".