1648571257089 has 45 divisors (see below), whose sum is σ = 2479626567187. Its totient is φ = 1091536297776.

The previous prime is 1648571257079. The next prime is 1648571257129. The reversal of 1648571257089 is 9807521758461.

The square root of 1648571257089 is 1283967.

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

1648571257089 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 57 + 1 + 2 + 570 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 799423751025 + 849147506064 = 894105^2 + 921492^2 .

It is not a de Polignac number, because 1648571257089 - 2⁵ = 1648571257057 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1648571257079) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2068470439 + ... + 2068471235.

Almost surely, 2^{1648571257089} is an apocalyptic number.

1648571257089 is the 1283967-th square number.

1648571257089 is the 641984-th centered octagonal number.

It is an amenable number.

1648571257089 is a deficient number, since it is larger than the sum of its proper divisors (831055310098).

1648571257089 is an frugal number, since it uses more digits than its factorization.

1648571257089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 63.

The spelling of 1648571257089 in words is "one trillion, six hundred forty-eight billion, five hundred seventy-one million, two hundred fifty-seven thousand, eighty-nine".