1664143488 has 384 divisors, whose sum is σ = 5916326400. Its totient is φ = 458680320.

The previous prime is 1664143451. The next prime is 1664143493. The reversal of 1664143488 is 8843414661.

1664143488 is a `hidden beast` number, since 166 + 4 + 1 + 4 + 3 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1664143488² = 5538747097305612288, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5249506 + ... + 5249822.

It is an arithmetic number, because the mean of its divisors is an integer number (15407100).

Almost surely, 2^1664143488 is an apocalyptic number.

1664143488 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 1664143488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958163200).

1664143488 is an abundant number, since it is smaller than the sum of its proper divisors (4252182912).

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

1664143488 is a wasteful number, since it uses less digits than its factorization.

1664143488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 360 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 1664143488 is about 40793.9148403288. The cubic root of 1664143488 is about 1185.0324874926.

The spelling of 1664143488 in words is "one billion, six hundred sixty-four million, one hundred forty-three thousand, four hundred eighty-eight".