1648493462016 has 280 divisors, whose sum is σ = 5228905472604. Its totient is φ = 517172428800.

The previous prime is 1648493461939. The next prime is 1648493462017. The reversal of 1648493462016 is 6102643948461.

1648493462016 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 4 + 9 + 3 + 4 + 620 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1459998556416 + 188494905600 = 1208304^2 + 434160^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1648493462017) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 6215316 + ... + 6475116.

Almost surely, 2^{1648493462016} is an apocalyptic number.

1648493462016 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 1648493462016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614452736302).

1648493462016 is an abundant number, since it is smaller than the sum of its proper divisors (3580412010588).

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

1648493462016 is an frugal number, since it uses more digits than its factorization.

1648493462016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259854 (or 259823 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 1648493462016 in words is "one trillion, six hundred forty-eight billion, four hundred ninety-three million, four hundred sixty-two thousand, sixteen".