1609359691776 has 208 divisors, whose sum is σ = 4495297336704. Its totient is φ = 511109496832.

The previous prime is 1609359691757. The next prime is 1609359691783. The reversal of 1609359691776 is 6771969539061.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a self number, because there is not a number n which added to its sum of digits gives 1609359691776.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72623290 + ... + 72645446.

Almost surely, 2^{1609359691776} is an apocalyptic number.

1609359691776 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 1609359691776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247648668352).

1609359691776 is an abundant number, since it is smaller than the sum of its proper divisors (2885937644928).

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

1609359691776 is a wasteful number, since it uses less digits than its factorization.

1609359691776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22464 (or 22442 counting only the distinct ones).

The product of its (nonzero) digits is 115736040, while the sum is 69.

The spelling of 1609359691776 in words is "one trillion, six hundred nine billion, three hundred fifty-nine million, six hundred ninety-one thousand, seven hundred seventy-six".