48382841521 has 25 divisors (see below), whose sum is σ = 57298491241. Its totient is φ = 40852036764.

The previous prime is 48382841503. The next prime is 48382841527. The reversal of 48382841521 is 12514828384.

The square root of 48382841521 is 219961.

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

It is not a de Polignac number, because 48382841521 - 2¹⁵ = 48382808753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48382841527) 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 24 ways as a sum of consecutive naturals, for example, 722131930 + ... + 722131996.

Almost surely, 2^48382841521 is an apocalyptic number.

48382841521 is the 219961-st square number.

48382841521 is the 109981-st centered octagonal number.

It is an amenable number.

48382841521 is a deficient number, since it is larger than the sum of its proper divisors (8915649720).

48382841521 is an frugal number, since it uses more digits than its factorization.

48382841521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 74 counting only the distinct ones).

The product of its digits is 491520, while the sum is 46.

The spelling of 48382841521 in words is "forty-eight billion, three hundred eighty-two million, eight hundred forty-one thousand, five hundred twenty-one".