57385357848 has 768 divisors, whose sum is σ = 213583104000. Its totient is φ = 14285134080.

The previous prime is 57385357807. The next prime is 57385357849. The reversal of 57385357848 is 84875358375.

57385357848 is a `hidden beast` number, since 5 + 7 + 3 + 8 + 53 + 578 + 4 + 8 = 666.

It is a super-2 number, since 2×57385357848² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (112896000) is a multiple of the sum of its prime divisors (315).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57385357849) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 211753953 + ... + 211754223.

It is an arithmetic number, because the mean of its divisors is an integer number (278103000).

Almost surely, 2^57385357848 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 57385357848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106791552000).

57385357848 is an abundant number, since it is smaller than the sum of its proper divisors (156197746152).

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

57385357848 is a wasteful number, since it uses less digits than its factorization.

57385357848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 315 counting only the distinct ones).

The product of its digits is 112896000, while the sum is 63.

The spelling of 57385357848 in words is "fifty-seven billion, three hundred eighty-five million, three hundred fifty-seven thousand, eight hundred forty-eight".