1609713616896 has 1728 divisors, whose sum is σ = 6496615419840. Its totient is φ = 392398110720.

The previous prime is 1609713616891. The next prime is 1609713616897. The reversal of 1609713616896 is 6986163179061.

1609713616896 is a `hidden beast` number, since 1 + 6 + 0 + 9 + 7 + 1 + 3 + 616 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1609713616891) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4560095056 + ... + 4560095408.

It is an arithmetic number, because the mean of its divisors is an integer number (3759615405).

Almost surely, 2^{1609713616896} is an apocalyptic number.

1609713616896 is a gapful number since it is divisible by the number (16) 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 1609713616896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3248307709920).

1609713616896 is an abundant number, since it is smaller than the sum of its proper divisors (4886901802944).

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

1609713616896 is a wasteful number, since it uses less digits than its factorization.

1609713616896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 1609713616896 in words is "one trillion, six hundred nine billion, seven hundred thirteen million, six hundred sixteen thousand, eight hundred ninety-six".