1648753864705 has 64 divisors (see below), whose sum is σ = 2156904288000. Its totient is φ = 1205962048512.

The previous prime is 1648753864649. The next prime is 1648753864721. The reversal of 1648753864705 is 5074683578461.

It is a cyclic number.

It is not a de Polignac number, because 1648753864705 - 2³⁵ = 1614394126337 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76274479 + ... + 76296091.

It is an arithmetic number, because the mean of its divisors is an integer number (33701629500).

Almost surely, 2^{1648753864705} is an apocalyptic number.

It is an amenable number.

1648753864705 is a deficient number, since it is larger than the sum of its proper divisors (508150423295).

1648753864705 is a wasteful number, since it uses less digits than its factorization.

1648753864705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21938.

The product of its (nonzero) digits is 135475200, while the sum is 64.

The spelling of 1648753864705 in words is "one trillion, six hundred forty-eight billion, seven hundred fifty-three million, eight hundred sixty-four thousand, seven hundred five".