48327509336401 has 3 divisors (see below), whose sum is σ = 48327516288201. Its totient is φ = 48327502384602.

The previous prime is 48327509336389. The next prime is 48327509336417. The reversal of 48327509336401 is 10463390572384.

It is a happy number.

The square root of 48327509336401 is 6951799.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 48327509336401 - 2¹⁹ = 48327508812113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48327509339401) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 3475900 + ... + 10427698.

It is an arithmetic number, because the mean of its divisors is an integer number (16109172096067).

It is a 1-persistent number, because it is pandigital, but 2⋅48327509336401 = 96655018672802 is not.

Almost surely, 2^{48327509336401} is an apocalyptic number.

48327509336401 is the 6951799-th square number.

48327509336401 is the 3475900-th centered octagonal number.

It is an amenable number.

48327509336401 is a deficient number, since it is larger than the sum of its proper divisors (6951800).

48327509336401 is an frugal number, since it uses more digits than its factorization.

48327509336401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13903598 (or 6951799 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 55.

The spelling of 48327509336401 in words is "forty-eight trillion, three hundred twenty-seven billion, five hundred nine million, three hundred thirty-six thousand, four hundred one".