1648337826816 has 264 divisors, whose sum is σ = 5058738326720. Its totient is φ = 515468427264.

The previous prime is 1648337826749. The next prime is 1648337826827. The reversal of 1648337826816 is 6186287338461.

1648337826816 is a `hidden beast` number, since 1 + 6 + 483 + 3 + 7 + 82 + 68 + 16 = 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, 17990016 + ... + 18081408.

Almost surely, 2^{1648337826816} is an apocalyptic number.

1648337826816 is a gapful number since it is divisible by the number (16) 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 1648337826816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529369163360).

1648337826816 is an abundant number, since it is smaller than the sum of its proper divisors (3410400499904).

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

1648337826816 is a wasteful number, since it uses less digits than its factorization.

1648337826816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91541 (or 91520 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 1648337826816 in words is "one trillion, six hundred forty-eight billion, three hundred thirty-seven million, eight hundred twenty-six thousand, eight hundred sixteen".