46546983826225 has 27 divisors (see below), whose sum is σ = 57851004547713. Its totient is φ = 37152141632640.

The previous prime is 46546983826181. The next prime is 46546983826267. The reversal of 46546983826225 is 52262838964564.

The square root of 46546983826225 is 6822535.

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

46546983826225 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 1198234540321 + 45348749285904 = 1094639^2 + 6734148^2 .

It is not a de Polignac number, because 46546983826225 - 2⁷ = 46546983826097 is a prime.

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 17840927721 + ... + 17840930329.

Almost surely, 2^{46546983826225} is an apocalyptic number.

46546983826225 is the 6822535-th square number.

46546983826225 is the 3411268-th centered octagonal number.

It is an amenable number.

46546983826225 is a deficient number, since it is larger than the sum of its proper divisors (11304020721488).

46546983826225 is an frugal number, since it uses more digits than its factorization.

46546983826225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6274 (or 3137 counting only the distinct ones).

The product of its digits is 1194393600, while the sum is 70.

The spelling of 46546983826225 in words is "forty-six trillion, five hundred forty-six billion, nine hundred eighty-three million, eight hundred twenty-six thousand, two hundred twenty-five".