16838955225 has 81 divisors (see below), whose sum is σ = 31061208477. Its totient is φ = 8720208000.

The previous prime is 16838955223. The next prime is 16838955253. The reversal of 16838955225 is 52255983861.

It is a happy number.

The square root of 16838955225 is 129765.

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

16838955225 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 89 + 552 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7087787721 + 9751167504 = 84189^2 + 98748^2 .

It is not a de Polignac number, because 16838955225 - 2¹ = 16838955223 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (16838955223) 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 80 ways as a sum of consecutive naturals, for example, 79805370 + ... + 79805580.

Almost surely, 2^16838955225 is an apocalyptic number.

16838955225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

16838955225 is the 129765-th square number.

16838955225 is the 64883-rd centered octagonal number.

It is an amenable number.

16838955225 is a deficient number, since it is larger than the sum of its proper divisors (14222253252).

16838955225 is an equidigital number, since it uses as much as digits as its factorization.

16838955225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 260 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 54.

The spelling of 16838955225 in words is "sixteen billion, eight hundred thirty-eight million, nine hundred fifty-five thousand, two hundred twenty-five".