160881993216 has 240 divisors, whose sum is σ = 541482084000. Its totient is φ = 45965832192.

The previous prime is 160881993191. The next prime is 160881993247. The reversal of 160881993216 is 612399188061.

160881993216 is a `hidden beast` number, since 1 + 608 + 8 + 1 + 9 + 9 + 3 + 21 + 6 = 666.

It is a super-3 number, since 3×160881993216³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1529650 + ... + 1631438.

It is an arithmetic number, because the mean of its divisors is an integer number (2256175350).

Almost surely, 2^160881993216 is an apocalyptic number.

160881993216 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 160881993216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270741042000).

160881993216 is an abundant number, since it is smaller than the sum of its proper divisors (380600090784).

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

160881993216 is an equidigital number, since it uses as much as digits as its factorization.

160881993216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101834 (or 101801 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 160881993216 in words is "one hundred sixty billion, eight hundred eighty-one million, nine hundred ninety-three thousand, two hundred sixteen".