48556717110225 has 243 divisors, whose sum is σ = 91645997859507. Its totient is φ = 24574673571840.

The previous prime is 48556717110203. The next prime is 48556717110263. The reversal of 48556717110225 is 52201171765584.

The square root of 48556717110225 is 6968265.

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

48556717110225 is a `hidden beast` number, since 4 + 8 + 5 + 567 + 1 + 71 + 1 + 0 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 41292743439249 + 7263973670976 = 6425943^2 + 2695176^2 .

It is not a de Polignac number, because 48556717110225 - 2²³ = 48556708721617 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 251589207729 + ... + 251589207921.

Almost surely, 2^{48556717110225} is an apocalyptic number.

48556717110225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

48556717110225 is the 6968265-th square number.

48556717110225 is the 3484133-rd centered octagonal number.

It is an amenable number.

48556717110225 is a deficient number, since it is larger than the sum of its proper divisors (43089280749282).

48556717110225 is an equidigital number, since it uses as much as digits as its factorization.

48556717110225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 54.

The spelling of 48556717110225 in words is "forty-eight trillion, five hundred fifty-six billion, seven hundred seventeen million, one hundred ten thousand, two hundred twenty-five".