1248871065841 has 27 divisors (see below), whose sum is σ = 1543416577227. Its totient is φ = 1007385341760.

The previous prime is 1248871065823. The next prime is 1248871065847. The reversal of 1248871065841 is 1485601788421.

The square root of 1248871065841 is 1117529.

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

It can be written as a sum of positive squares in only one way, i.e., 972304463025 + 276566602816 = 986055^2 + 525896^2 .

It is not a de Polignac number, because 1248871065841 - 2¹¹ = 1248871063793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1248871065847) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 132981256 + ... + 132990646.

Almost surely, 2^{1248871065841} is an apocalyptic number.

1248871065841 is the 1117529-th square number.

1248871065841 is the 558765-th centered octagonal number.

It is an amenable number.

1248871065841 is a deficient number, since it is larger than the sum of its proper divisors (294545511386).

1248871065841 is an frugal number, since it uses more digits than its factorization.

1248871065841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18830 (or 9415 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 55.

The spelling of 1248871065841 in words is "one trillion, two hundred forty-eight billion, eight hundred seventy-one million, sixty-five thousand, eight hundred forty-one".