161098713216 has 256 divisors, whose sum is σ = 549942220800. Its totient is φ = 45473080320.

The previous prime is 161098713211. The next prime is 161098713241. The reversal of 161098713216 is 612317890161.

161098713216 is a `hidden beast` number, since 1 + 610 + 9 + 8 + 7 + 1 + 3 + 21 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (161098713211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1967821 + ... + 2048051.

It is an arithmetic number, because the mean of its divisors is an integer number (2148211800).

Almost surely, 2^161098713216 is an apocalyptic number.

161098713216 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 161098713216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274971110400).

161098713216 is an abundant number, since it is smaller than the sum of its proper divisors (388843507584).

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

161098713216 is an equidigital number, since it uses as much as digits as its factorization.

161098713216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80344 (or 80326 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 161098713216 in words is "one hundred sixty-one billion, ninety-eight million, seven hundred thirteen thousand, two hundred sixteen".