161727561689344 has 432 divisors, whose sum is σ = 399402796665600. Its totient is φ = 65208368332800.

The previous prime is 161727561689333. The next prime is 161727561689377. The reversal of 161727561689344 is 443986165727161.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7514861304 + ... + 7514882824.

It is an arithmetic number, because the mean of its divisors is an integer number (924543510800).

Almost surely, 2^{161727561689344} is an apocalyptic number.

161727561689344 is a gapful number since it is divisible by the number (14) 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 161727561689344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199701398332800).

161727561689344 is an abundant number, since it is smaller than the sum of its proper divisors (237675234976256).

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

161727561689344 is an frugal number, since it uses more digits than its factorization.

161727561689344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21703 (or 21614 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 70.

The spelling of 161727561689344 in words is "one hundred sixty-one trillion, seven hundred twenty-seven billion, five hundred sixty-one million, six hundred eighty-nine thousand, three hundred forty-four".