57450337344 has 105 divisors (see below), whose sum is σ = 170351969557. Its totient is φ = 19144359936.

The previous prime is 57450337279. The next prime is 57450337361. The reversal of 57450337344 is 44373305475.

The square root of 57450337344 is 239688.

It is a perfect power (a square), and thus also a powerful number.

57450337344 is a `hidden beast` number, since 5 + 74 + 503 + 3 + 73 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22406497344 + 35043840000 = 149688^2 + 187200^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 57450337344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 17255872 + ... + 17259200.

Almost surely, 2^57450337344 is an apocalyptic number.

57450337344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

57450337344 is the 239688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57450337344

57450337344 is an abundant number, since it is smaller than the sum of its proper divisors (112901632213).

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

57450337344 is an frugal number, since it uses more digits than its factorization.

57450337344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6682 (or 3334 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 45.

The spelling of 57450337344 in words is "fifty-seven billion, four hundred fifty million, three hundred thirty-seven thousand, three hundred forty-four".