48814465960225 has 27 divisors (see below), whose sum is σ = 70412729345721. Its totient is φ = 33472608976800.

The previous prime is 48814465960157. The next prime is 48814465960243. The reversal of 48814465960225 is 52206956441884.

The square root of 48814465960225 is 6986735.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7827735200481 + 40986730759744 = 2797809^2 + 6402088^2 .

It is not a de Polignac number, because 48814465960225 - 2⁷ = 48814465960097 is a prime.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 244435915 + ... + 244635535.

Almost surely, 2^{48814465960225} is an apocalyptic number.

48814465960225 is the 6986735-th square number.

48814465960225 is the 3493368-th centered octagonal number.

It is an amenable number.

48814465960225 is a deficient number, since it is larger than the sum of its proper divisors (21598263385496).

48814465960225 is an frugal number, since it uses more digits than its factorization.

48814465960225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399266 (or 199633 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 64.

The spelling of 48814465960225 in words is "forty-eight trillion, eight hundred fourteen billion, four hundred sixty-five million, nine hundred sixty thousand, two hundred twenty-five".