1648656000000 has 693 divisors, whose sum is σ = 6006628719637. Its totient is φ = 435532800000.

The previous prime is 1648655999971. The next prime is 1648656000011. The reversal of 1648656000000 is 6568461.

The square root of 1648656000000 is 1284000.

It is a perfect power (a square), and thus also a powerful number.

1648656000000 is a `hidden beast` number, since 1 + 6 + 48 + 6 + 5 + 600 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1444380926976 + 204275073024 = 1201824^2 + 451968^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 15407999947 + ... + 15408000053.

Almost surely, 2^{1648656000000} is an apocalyptic number.

1648656000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1648656000000 is the 1284000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1648656000000

1648656000000 is an abundant number, since it is smaller than the sum of its proper divisors (4357972719637).

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

1648656000000 is an frugal number, since it uses more digits than its factorization.

1648656000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 1648656000000 by its sum of digits (36), we get a square (59351616000000 = 7704000²).

1648656000000 divided by its sum of digits (36) gives a square (45796000000 = 214000²).

The spelling of 1648656000000 in words is "one trillion, six hundred forty-eight billion, six hundred fifty-six million", and thus it is an aban number.