19400809483225 has 81 divisors (see below), whose sum is σ = 25156390941783. Its totient is φ = 14841858096000.

The previous prime is 19400809483207. The next prime is 19400809483327. The reversal of 19400809483225 is 52238490800491.

It is a happy number.

The square root of 19400809483225 is 4404635.

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

It can be written as a sum of positive squares in 13 ways, for example, as 18213066976329 + 1187742506896 = 4267677^2 + 1089836^2 .

It is not a de Polignac number, because 19400809483225 - 2¹¹ = 19400809481177 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 107186792635 + ... + 107186792815.

Almost surely, 2^{19400809483225} is an apocalyptic number.

19400809483225 is the 4404635-th square number.

19400809483225 is the 2202318-th centered octagonal number.

It is an amenable number.

19400809483225 is a deficient number, since it is larger than the sum of its proper divisors (5755581458558).

19400809483225 is an frugal number, since it uses more digits than its factorization.

19400809483225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 55.

The spelling of 19400809483225 in words is "nineteen trillion, four hundred billion, eight hundred nine million, four hundred eighty-three thousand, two hundred twenty-five".