1659193344 has 72 divisors (see below), whose sum is σ = 4792108230. Its totient is φ = 553058304.

The previous prime is 1659193309. The next prime is 1659193379. The reversal of 1659193344 is 4433919561.

1659193344 is a `hidden beast` number, since 16 + 591 + 9 + 3 + 3 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (1659193309) and next prime (1659193379).

It can be written as a sum of positive squares in only one way, i.e., 1096934400 + 562258944 = 33120^2 + 23712^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1659193344.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26577 + ... + 63440.

Almost surely, 2^1659193344 is an apocalyptic number.

It is an amenable number.

1659193344 is an abundant number, since it is smaller than the sum of its proper divisors (3132914886).

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

1659193344 is an equidigital number, since it uses as much as digits as its factorization.

1659193344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90045 (or 90022 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 1659193344 is about 40733.1970756041. The cubic root of 1659193344 is about 1183.8563253956.

The spelling of 1659193344 in words is "one billion, six hundred fifty-nine million, one hundred ninety-three thousand, three hundred forty-four".