16463306160 has 480 divisors, whose sum is σ = 68843450880. Its totient is φ = 3598898688.

The previous prime is 16463306159. The next prime is 16463306191. The reversal of 16463306160 is 6160336461.

16463306160 is a `hidden beast` number, since 1 + 6 + 4 + 6 + 3 + 30 + 616 + 0 = 666.

16463306160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2430939 + ... + 2437701.

It is an arithmetic number, because the mean of its divisors is an integer number (143423856).

Almost surely, 2^16463306160 is an apocalyptic number.

16463306160 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 16463306160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34421725440).

16463306160 is an abundant number, since it is smaller than the sum of its proper divisors (52380144720).

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

16463306160 is a wasteful number, since it uses less digits than its factorization.

16463306160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6822 (or 6803 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 16463306160 in words is "sixteen billion, four hundred sixty-three million, three hundred six thousand, one hundred sixty".