48327522572384 has 96 divisors (see below), whose sum is σ = 104209022879136. Its totient is φ = 21879309598720.

The previous prime is 48327522572369. The next prime is 48327522572389.

48327522572384 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48327522572389) 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 15 ways as a sum of consecutive naturals, for example, 1122908114 + ... + 1122951150.

It is an arithmetic number, because the mean of its divisors is an integer number (1085510654991).

Almost surely, 2^{48327522572384} is an apocalyptic number.

48327522572384 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48327522572384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52104511439568).

48327522572384 is an abundant number, since it is smaller than the sum of its proper divisors (55881500306752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48327522572384 is a wasteful number, since it uses less digits than its factorization.

48327522572384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55728 (or 55720 counting only the distinct ones).

The product of its digits is 180633600, while the sum is 62.

The spelling of 48327522572384 in words is "forty-eight trillion, three hundred twenty-seven billion, five hundred twenty-two million, five hundred seventy-two thousand, three hundred eighty-four".