1664748288 has 216 divisors, whose sum is σ = 5690234368. Its totient is φ = 475517952.

The previous prime is 1664748287. The next prime is 1664748313. The reversal of 1664748288 is 8828474661.

1664748288 is a `hidden beast` number, since 16 + 6 + 474 + 82 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

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

It is not an unprimeable number, because it can be changed into a prime (1664748287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 433545 + ... + 437367.

Almost surely, 2^1664748288 is an apocalyptic number.

1664748288 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 1664748288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845117184).

1664748288 is an abundant number, since it is smaller than the sum of its proper divisors (4025486080).

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

1664748288 is an frugal number, since it uses more digits than its factorization.

1664748288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3861 (or 3835 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 1664748288 is about 40801.3270372423. The cubic root of 1664748288 is about 1185.1760289694.

The spelling of 1664748288 in words is "one billion, six hundred sixty-four million, seven hundred forty-eight thousand, two hundred eighty-eight".