45263898344025 has 81 divisors (see below), whose sum is σ = 84755172670077. Its totient is φ = 23089964040000.

The previous prime is 45263898344017. The next prime is 45263898344051. The reversal of 45263898344025 is 52044389836254.

The square root of 45263898344025 is 6727845.

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

45263898344025 is a `hidden beast` number, since 4 + 5 + 263 + 8 + 9 + 8 + 344 + 0 + 25 = 666.

45263898344025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 489813817689 + 44774084526336 = 699867^2 + 6691344^2 .

It is not a de Polignac number, because 45263898344025 - 2³ = 45263898344017 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 (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2321096775 + ... + 2321116275.

Almost surely, 2^{45263898344025} is an apocalyptic number.

45263898344025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45263898344025 is the 6727845-th square number.

45263898344025 is the 3363923-rd centered octagonal number.

It is an amenable number.

45263898344025 is a deficient number, since it is larger than the sum of its proper divisors (39491274326052).

45263898344025 is an frugal number, since it uses more digits than its factorization.

45263898344025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39064 (or 19532 counting only the distinct ones).

The product of its (nonzero) digits is 199065600, while the sum is 63.

The spelling of 45263898344025 in words is "forty-five trillion, two hundred sixty-three billion, eight hundred ninety-eight million, three hundred forty-four thousand, twenty-five".