57648457308 has 144 divisors (see below), whose sum is σ = 162343077120. Its totient is φ = 15815734272.

The previous prime is 57648457199. The next prime is 57648457319. The reversal of 57648457308 is 80375484675.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 611041 + ... + 699047.

It is an arithmetic number, because the mean of its divisors is an integer number (1127382480).

Almost surely, 2^57648457308 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 57648457308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81171538560).

57648457308 is an abundant number, since it is smaller than the sum of its proper divisors (104694619812).

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

57648457308 is a wasteful number, since it uses less digits than its factorization.

57648457308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88076 (or 88061 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 57.

The spelling of 57648457308 in words is "fifty-seven billion, six hundred forty-eight million, four hundred fifty-seven thousand, three hundred eight".