1648285562880 has 768 divisors, whose sum is σ = 6471667238400. Its totient is φ = 399524659200.

The previous prime is 1648285562857. The next prime is 1648285562923. The reversal of 1648285562880 is 882655828461.

1648285562880 is a `hidden beast` number, since 1 + 6 + 48 + 28 + 5 + 562 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

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, 246340335 + ... + 246347025.

It is an arithmetic number, because the mean of its divisors is an integer number (8426650050).

Almost surely, 2^{1648285562880} is an apocalyptic number.

1648285562880 is a gapful number since it is divisible by the number (10) 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 1648285562880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235833619200).

1648285562880 is an abundant number, since it is smaller than the sum of its proper divisors (4823381675520).

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

1648285562880 is an frugal number, since it uses more digits than its factorization.

1648285562880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6750 (or 6712 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 63.

The spelling of 1648285562880 in words is "one trillion, six hundred forty-eight billion, two hundred eighty-five million, five hundred sixty-two thousand, eight hundred eighty".