161306282067840 has 4608 divisors, whose sum is σ = 784417810176000. Its totient is φ = 30085341511680.

The previous prime is 161306282067839. The next prime is 161306282067869. The reversal of 161306282067840 is 48760282603161.

It is a happy number.

161306282067840 is a `hidden beast` number, since 1 + 6 + 1 + 3 + 0 + 628 + 2 + 0 + 6 + 7 + 8 + 4 + 0 = 666.

It is a super-3 number, since 3×161306282067840³ (a number of 44 digits) contains 333 as substring.

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 575 ways as a sum of consecutive naturals, for example, 155251474041 + ... + 155251475079.

It is an arithmetic number, because the mean of its divisors is an integer number (170229559500).

Almost surely, 2^{161306282067840} is an apocalyptic number.

161306282067840 is a gapful number since it is divisible by the number (10) 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 161306282067840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392208905088000).

161306282067840 is an abundant number, since it is smaller than the sum of its proper divisors (623111528108160).

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

161306282067840 is a wasteful number, since it uses less digits than its factorization.

161306282067840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 161306282067840 in words is "one hundred sixty-one trillion, three hundred six billion, two hundred eighty-two million, sixty-seven thousand, eight hundred forty".