19845765625 has 105 divisors (see below), whose sum is σ = 30252601043. Its totient is φ = 13016850000.

The previous prime is 19845765613. The next prime is 19845765637. The reversal of 19845765625 is 52656754891.

It is a happy number.

The square root of 19845765625 is 140875.

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 (19845765613) and next prime (19845765637).

It can be written as a sum of positive squares in 3 ways, for example, as 17386795881 + 2458969744 = 131859^2 + 49588^2 .

It is not a de Polignac number, because 19845765625 - 2¹¹ = 19845763577 is a prime.

Its product of digits (18144000) is a multiple of the sum of its prime divisors (35).

It is a self number, because there is not a number n which added to its sum of digits gives 19845765625.

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 862859364 + ... + 862859386.

Almost surely, 2^19845765625 is an apocalyptic number.

19845765625 is the 140875-th square number.

19845765625 is the 70438-th centered octagonal number.

It is an amenable number.

19845765625 is a deficient number, since it is larger than the sum of its proper divisors (10406835418).

19845765625 is an frugal number, since it uses more digits than its factorization.

19845765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 35 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 58.

The spelling of 19845765625 in words is "nineteen billion, eight hundred forty-five million, seven hundred sixty-five thousand, six hundred twenty-five".