1648994453568 has 504 divisors, whose sum is σ = 6160217117184. Its totient is φ = 416731392000.

The previous prime is 1648994453551. The next prime is 1648994453581. The reversal of 1648994453568 is 8653544998461.

1648994453568 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 9 + 9 + 4 + 4 + 53 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1648994453496 and 1648994453505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11415393 + ... + 11558943.

Almost surely, 2^{1648994453568} is an apocalyptic number.

1648994453568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1648994453568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3080108558592).

1648994453568 is an abundant number, since it is smaller than the sum of its proper divisors (4511222663616).

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

1648994453568 is a wasteful number, since it uses less digits than its factorization.

1648994453568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143631 (or 143611 counting only the distinct ones).

The product of its digits is 895795200, while the sum is 72.

The spelling of 1648994453568 in words is "one trillion, six hundred forty-eight billion, nine hundred ninety-four million, four hundred fifty-three thousand, five hundred sixty-eight".