1664461467648 has 1040 divisors, whose sum is σ = 5977747240960. Its totient is φ = 451480780800.

The previous prime is 1664461467593. The next prime is 1664461467719. The reversal of 1664461467648 is 8467641644661.

1664461467648 is a `hidden beast` number, since 1 + 6 + 6 + 4 + 4 + 614 + 6 + 7 + 6 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4391718723 + ... + 4391719101.

Almost surely, 2^{1664461467648} is an apocalyptic number.

1664461467648 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 1664461467648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988873620480).

1664461467648 is an abundant number, since it is smaller than the sum of its proper divisors (4313285773312).

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

1664461467648 is an equidigital number, since it uses as much as digits as its factorization.

1664461467648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 483 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 63.

The spelling of 1664461467648 in words is "one trillion, six hundred sixty-four billion, four hundred sixty-one million, four hundred sixty-seven thousand, six hundred forty-eight".