57334265144 has 128 divisors (see below), whose sum is σ = 127129927680. Its totient is φ = 23988787200.

The previous prime is 57334265143. The next prime is 57334265147. The reversal of 57334265144 is 44156243375.

It is a junction number, because it is equal to n+sod(n) for n = 57334265095 and 57334265104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57334265143) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12219839 + ... + 12224529.

It is an arithmetic number, because the mean of its divisors is an integer number (993202560).

Almost surely, 2^57334265144 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 57334265144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63564963840).

57334265144 is an abundant number, since it is smaller than the sum of its proper divisors (69795662536).

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

57334265144 is a wasteful number, since it uses less digits than its factorization.

57334265144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4981 (or 4977 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 44.

The spelling of 57334265144 in words is "fifty-seven billion, three hundred thirty-four million, two hundred sixty-five thousand, one hundred forty-four".