1609104577344 has 448 divisors, whose sum is σ = 5117217949440. Its totient is φ = 440489082880.

The previous prime is 1609104577331. The next prime is 1609104577433. The reversal of 1609104577344 is 4437754019061.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 180125902 + ... + 180134834.

Almost surely, 2^{1609104577344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1609104577344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558608974720).

1609104577344 is an abundant number, since it is smaller than the sum of its proper divisors (3508113372096).

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

1609104577344 is a wasteful number, since it uses less digits than its factorization.

1609104577344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9178 (or 9168 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 1609104577344 in words is "one trillion, six hundred nine billion, one hundred four million, five hundred seventy-seven thousand, three hundred forty-four".