48912033021984 has 192 divisors, whose sum is σ = 159835391614080. Its totient is φ = 14421238133760.

The previous prime is 48912033021953. The next prime is 48912033021991.

48912033021984 is a `hidden beast` number, since 4 + 8 + 9 + 12 + 0 + 330 + 219 + 84 = 666.

48912033021984 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 48912033021984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69195219 + ... + 69898514.

It is an arithmetic number, because the mean of its divisors is an integer number (832475997990).

Almost surely, 2^{48912033021984} is an apocalyptic number.

48912033021984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48912033021984 is an abundant number, since it is smaller than the sum of its proper divisors (110923358592096).

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

48912033021984 is a wasteful number, since it uses less digits than its factorization.

48912033021984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139093800 (or 139093786 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 48912033021984 in words is "forty-eight trillion, nine hundred twelve billion, thirty-three million, twenty-one thousand, nine hundred eighty-four".