48468817422025 has 405 divisors, whose sum is σ = 84036440631507. Its totient is φ = 27629493091200.

The previous prime is 48468817422019. The next prime is 48468817422037. The reversal of 48468817422025 is 52022471886484.

The square root of 48468817422025 is 6961955.

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

It can be written as a sum of positive squares in 7 ways, for example, as 47555409057849 + 913408364176 = 6896043^2 + 955724^2 .

It is not a de Polignac number, because 48468817422025 - 2¹¹ = 48468817419977 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 404 ways as a sum of consecutive naturals, for example, 452979602022 + ... + 452979602128.

Almost surely, 2^{48468817422025} is an apocalyptic number.

48468817422025 is the 6961955-th square number.

48468817422025 is the 3480978-th centered octagonal number.

It is an amenable number.

48468817422025 is a deficient number, since it is larger than the sum of its proper divisors (35567623209482).

48468817422025 is an equidigital number, since it uses as much as digits as its factorization.

48468817422025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 55050240, while the sum is 61.

The spelling of 48468817422025 in words is "forty-eight trillion, four hundred sixty-eight billion, eight hundred seventeen million, four hundred twenty-two thousand, twenty-five".