161112946176 has 960 divisors, whose sum is σ = 614824898688. Its totient is φ = 39409680384.

The previous prime is 161112946171. The next prime is 161112946201. The reversal of 161112946176 is 671649211161.

It is a happy number.

161112946176 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 1 + 29 + 4 + 617 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161112946171) 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 95 ways as a sum of consecutive naturals, for example, 691471756 + ... + 691471988.

Almost surely, 2^161112946176 is an apocalyptic number.

161112946176 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 161112946176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307412449344).

161112946176 is an abundant number, since it is smaller than the sum of its proper divisors (453711952512).

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

161112946176 is a wasteful number, since it uses less digits than its factorization.

161112946176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 372 counting only the distinct ones).

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

The spelling of 161112946176 in words is "one hundred sixty-one billion, one hundred twelve million, nine hundred forty-six thousand, one hundred seventy-six".