57048219648 has 720 divisors, whose sum is σ = 206101808640. Its totient is φ = 15415640064.

The previous prime is 57048219647. The next prime is 57048219667. The reversal of 57048219648 is 84691284075.

It is a happy number.

57048219648 is a `hidden beast` number, since 5 + 70 + 482 + 1 + 96 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 57048219594 and 57048219603.

It is not an unprimeable number, because it can be changed into a prime (57048219647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 640991188 + ... + 640991276.

It is an arithmetic number, because the mean of its divisors is an integer number (286252512).

Almost surely, 2^57048219648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57048219648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103050904320).

57048219648 is an abundant number, since it is smaller than the sum of its proper divisors (149053588992).

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

57048219648 is an frugal number, since it uses more digits than its factorization.

57048219648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 57048219648 in words is "fifty-seven billion, forty-eight million, two hundred nineteen thousand, six hundred forty-eight".