57113742318144 has 224 divisors, whose sum is σ = 154239437520000. Its totient is φ = 18646548873216.

The previous prime is 57113742318133. The next prime is 57113742318163. The reversal of 57113742318144 is 44181324731175.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5570436922 + ... + 5570447174.

It is an arithmetic number, because the mean of its divisors is an integer number (688568917500).

Almost surely, 2^{57113742318144} 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 57113742318144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77119718760000).

57113742318144 is an abundant number, since it is smaller than the sum of its proper divisors (97125695201856).

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

57113742318144 is a wasteful number, since it uses less digits than its factorization.

57113742318144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12085 (or 12075 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 51.

The spelling of 57113742318144 in words is "fifty-seven trillion, one hundred thirteen billion, seven hundred forty-two million, three hundred eighteen thousand, one hundred forty-four".