161916544677888 has 3072 divisors, whose sum is σ = 669529276416000. Its totient is φ = 37300115865600.

The previous prime is 161916544677859. The next prime is 161916544677893. The reversal of 161916544677888 is 888776445619161.

161916544677888 is a `hidden beast` number, since 1 + 6 + 1 + 9 + 1 + 6 + 5 + 4 + 467 + 78 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×161916544677888² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 338030364433 + ... + 338030364911.

It is an arithmetic number, because the mean of its divisors is an integer number (217945728000).

Almost surely, 2^{161916544677888} is an apocalyptic number.

161916544677888 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 161916544677888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334764638208000).

161916544677888 is an abundant number, since it is smaller than the sum of its proper divisors (507612731738112).

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

161916544677888 is a wasteful number, since it uses less digits than its factorization.

161916544677888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 743 counting only the distinct ones).

The product of its digits is 3901685760, while the sum is 81.

The spelling of 161916544677888 in words is "one hundred sixty-one trillion, nine hundred sixteen billion, five hundred forty-four million, six hundred seventy-seven thousand, eight hundred eighty-eight".