1648753864704 has 312 divisors, whose sum is σ = 4953229673392. Its totient is φ = 547987783680.

The previous prime is 1648753864649. The next prime is 1648753864721. The reversal of 1648753864704 is 4074683578461.

1648753864704 is a `hidden beast` number, since 1 + 6 + 4 + 87 + 5 + 3 + 86 + 470 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 371255124 + ... + 371259564.

Almost surely, 2^{1648753864704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1648753864704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476614836696).

1648753864704 is an abundant number, since it is smaller than the sum of its proper divisors (3304475808688).

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

1648753864704 is an frugal number, since it uses more digits than its factorization.

1648753864704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4853 (or 4819 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 1648753864704 in words is "one trillion, six hundred forty-eight billion, seven hundred fifty-three million, eight hundred sixty-four thousand, seven hundred four".