161688682368 has 192 divisors, whose sum is σ = 474642866880. Its totient is φ = 52813762560.

The previous prime is 161688682349. The next prime is 161688682373. The reversal of 161688682368 is 863286886161.

161688682368 is a `hidden beast` number, since 1 + 61 + 68 + 86 + 82 + 368 = 666.

161688682368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×161688682368² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 86881758 + ... + 86883618.

It is an arithmetic number, because the mean of its divisors is an integer number (2472098265).

Almost surely, 2^161688682368 is an apocalyptic number.

161688682368 is a gapful number since it is divisible by the number (18) 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 161688682368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237321433440).

161688682368 is an abundant number, since it is smaller than the sum of its proper divisors (312954184512).

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

161688682368 is a wasteful number, since it uses less digits than its factorization.

161688682368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3357 (or 3342 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 63.

The spelling of 161688682368 in words is "one hundred sixty-one billion, six hundred eighty-eight million, six hundred eighty-two thousand, three hundred sixty-eight".