1609584465636 has 135 divisors (see below), whose sum is σ = 4895241045849. Its totient is φ = 459835602912.

The previous prime is 1609584465617. The next prime is 1609584465667. The reversal of 1609584465636 is 6365644859061.

The square root of 1609584465636 is 1268694.

It is a perfect power (a square), and thus also a powerful number.

1609584465636 is a `hidden beast` number, since 1 + 6 + 0 + 9 + 584 + 46 + 5 + 6 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 407930025636 + 1201654440000 = 638694^2 + 1096200^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 159850410 + ... + 159860478.

Almost surely, 2^{1609584465636} is an apocalyptic number.

1609584465636 is the 1268694-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1609584465636

1609584465636 is an abundant number, since it is smaller than the sum of its proper divisors (3285656580213).

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

1609584465636 is an frugal number, since it uses more digits than its factorization.

1609584465636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20168 (or 10081 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 1609584465636 in words is "one trillion, six hundred nine billion, five hundred eighty-four million, four hundred sixty-five thousand, six hundred thirty-six".