1659438144 has 448 divisors, whose sum is σ = 6137940480. Its totient is φ = 427991040.

The previous prime is 1659438133. The next prime is 1659438161. The reversal of 1659438144 is 4418349561.

1659438144 is a `hidden beast` number, since 16 + 594 + 3 + 8 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 1659438144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9592042 + ... + 9592214.

It is an arithmetic number, because the mean of its divisors is an integer number (13700760).

Almost surely, 2^1659438144 is an apocalyptic number.

1659438144 is a gapful number since it is divisible by the number (14) 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 1659438144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3068970240).

1659438144 is an abundant number, since it is smaller than the sum of its proper divisors (4478502336).

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

1659438144 is a wasteful number, since it uses less digits than its factorization.

1659438144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 259 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 1659438144 is about 40736.2018848100. The cubic root of 1659438144 is about 1183.9145452082.

The spelling of 1659438144 in words is "one billion, six hundred fifty-nine million, four hundred thirty-eight thousand, one hundred forty-four".