48644138466225 has 243 divisors, whose sum is σ = 92084348913921. Its totient is φ = 24545899497600.

The previous prime is 48644138466211. The next prime is 48644138466227. The reversal of 48644138466225 is 52266483144684.

The square root of 48644138466225 is 6974535.

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

48644138466225 is a `hidden beast` number, since 4 + 8 + 64 + 413 + 84 + 6 + 62 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 366432883569 + 48277705582656 = 605337^2 + 6948216^2 .

It is not a de Polignac number, because 48644138466225 - 2¹¹ = 48644138464177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (48644138466227) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 171887414934 + ... + 171887415216.

Almost surely, 2^{48644138466225} is an apocalyptic number.

48644138466225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

48644138466225 is the 6974535-th square number.

48644138466225 is the 3487268-th centered octagonal number.

It is an amenable number.

48644138466225 is a deficient number, since it is larger than the sum of its proper divisors (43440210447696).

48644138466225 is an equidigital number, since it uses as much as digits as its factorization.

48644138466225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 375 counting only the distinct ones).

The product of its digits is 212336640, while the sum is 63.

The spelling of 48644138466225 in words is "forty-eight trillion, six hundred forty-four billion, one hundred thirty-eight million, four hundred sixty-six thousand, two hundred twenty-five".