57450548388996 has 567 divisors, whose sum is σ = 176861968890789. Its totient is φ = 15723636376896.

The previous prime is 57450548388991. The next prime is 57450548389007. The reversal of 57450548388996 is 69988384505475.

The square root of 57450548388996 is 7579614.

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

57450548388996 is a `hidden beast` number, since 5 + 7 + 4 + 50 + 5 + 483 + 8 + 89 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30125674006596 + 27324874382400 = 5488686^2 + 5227320^2 .

It is not an unprimeable number, because it can be changed into a prime (57450548388991) 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 188 ways as a sum of consecutive naturals, for example, 452366522685 + ... + 452366522811.

Almost surely, 2^{57450548388996} is an apocalyptic number.

57450548388996 is the 7579614-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57450548388996

57450548388996 is an abundant number, since it is smaller than the sum of its proper divisors (119411420501793).

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

57450548388996 is an frugal number, since it uses more digits than its factorization.

57450548388996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 10450944000, while the sum is 81.

The spelling of 57450548388996 in words is "fifty-seven trillion, four hundred fifty billion, five hundred forty-eight million, three hundred eighty-eight thousand, nine hundred ninety-six".