16442112160 has 96 divisors (see below), whose sum is σ = 39200620032. Its totient is φ = 6516787200.

The previous prime is 16442112151. The next prime is 16442112209. The reversal of 16442112160 is 6121124461.

It is a super-3 number, since 3×16442112160³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14906169 + ... + 14907271.

It is an arithmetic number, because the mean of its divisors is an integer number (408339792).

Almost surely, 2^16442112160 is an apocalyptic number.

16442112160 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 16442112160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19600310016).

16442112160 is an abundant number, since it is smaller than the sum of its proper divisors (22758507872).

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

16442112160 is a wasteful number, since it uses less digits than its factorization.

16442112160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 16442112160 in words is "sixteen billion, four hundred forty-two million, one hundred twelve thousand, one hundred sixty".