48328232326201 has 27 divisors (see below), whose sum is σ = 51025669090669. Its totient is φ = 45771209443232.

The previous prime is 48328232326151. The next prime is 48328232326229. The reversal of 48328232326201 is 10262323282384.

The square root of 48328232326201 is 6951851.

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 3032317236025 + 45295915090176 = 1741355^2 + 6730224^2 .

It is a de Polignac number, because none of the positive numbers 2^k-48328232326201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48328232326291) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10684992726 + ... + 10684997248.

Almost surely, 2^{48328232326201} is an apocalyptic number.

48328232326201 is the 6951851-st square number.

48328232326201 is the 3475926-th centered octagonal number.

It is an amenable number.

48328232326201 is a deficient number, since it is larger than the sum of its proper divisors (2697436764468).

48328232326201 is an frugal number, since it uses more digits than its factorization.

48328232326201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9210 (or 4605 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 46.

The spelling of 48328232326201 in words is "forty-eight trillion, three hundred twenty-eight billion, two hundred thirty-two million, three hundred twenty-six thousand, two hundred one".